{"as_of":"2026-08-11T19:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c3729f31a0936620b953ed660b194c7fb090c0b00004c12c72bcc656dd0a7f6c","coverage":[{"denominator":98,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":98,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T17:53:43.983477Z","state":"measured"},{"denominator":99,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":99,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T13:20:47.678410Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T13:20:49.448220Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"cited_work":{"arxiv_id":"2502.07816","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.07816","snapshot_observed_at":"2026-08-05T13:20:49.448220Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","venue":"math.AP","work_id":"107aeff2-18c3-4def-9d56-dba557dbe858","year":2025},"citing_paper":{"arxiv_id":"2509.00814","last_updated":"2026-05-28T05:54:29Z","snapshot_observed_at":"2026-08-05T13:20:40.884988Z","submitted_at":"2025-08-31T12:15:41Z","title":"Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T13:20:47.678410Z"},"links":{"cited_paper":"/paper/2502.07816","citing_paper":"/paper/2509.00814"},"observation_digest":"sha256:6e4b516c784d78bbf4c86191216b067b0b796f6aae47ee732cae9cbcce6cde5b","observation_id":"55284de0-46cc-4fcf-ba1d-f67b9e5539f0","resolution":{"observed_at":"2026-08-05T13:20:49.455380Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.07816/citation-record","integrity":"/paper/2502.07816/integrity","json":"/paper/2502.07816/citation-record.json","paper":"/paper/2502.07816"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.540754Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.540754Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:38343a1a3f7f277fd5a43b211738c7a3fae59f780789891cfdcbdeff9cf616b5","observation_id":"05411921-9ad2-4f86-8732-7bf922b96fcf","resolution":{"observed_at":"2026-08-08T17:53:43.540754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.546405Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.546405Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:725a692ee9607742bd8c70bdd5011a8c2fadab9ba546234370e6b18ed322b1d0","observation_id":"eefc11f5-3ba7-4321-8a7d-ee2faddcceea","resolution":{"observed_at":"2026-08-08T17:53:43.546405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.551254Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.551254Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:bacf9408a2c7cf62605ee8a310fcb85e70463e2923883062d1bd602b60e870e1","observation_id":"02598f44-200e-4ce1-8bc4-6e002eeda1b4","resolution":{"observed_at":"2026-08-08T17:53:43.551254Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.556485Z","title":"Caffarelli, B","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.556485Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:d570887eb071f8657dc5af8919217dbcdcdce68085beb4cf787a4bc65de8cb3f","observation_id":"bdc03011-36e2-4365-aa9c-d6b00d49db9f","resolution":{"observed_at":"2026-08-08T17:53:43.556485Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.561221Z","title":"Caffarelli, R","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.561221Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:f8d835a54b0baed326e93fc52871d15e17dfde25dec69dced5f372daa46f490f","observation_id":"685f71b3-7280-4a9d-aba5-d3bb1c386af3","resolution":{"observed_at":"2026-08-08T17:53:43.561221Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.566298Z","title":"Cao and W","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.566298Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:4b23ce658b36337f4ee7bbeb775e76ecf8c86a04561c3040c1573d5a77bd9caf","observation_id":"b0f70794-364c-40d7-a8bb-bb4ae6829e94","resolution":{"observed_at":"2026-08-08T17:53:43.566298Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.571404Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.571404Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:1ed8a76748ee0dc4cb9ee0e5675834374d65e1d580ad582c9d469ee99770fd4a","observation_id":"79f08481-fad5-4656-b5c7-a23407f15c4a","resolution":{"observed_at":"2026-08-08T17:53:43.571404Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.575870Z","title":"Cao and P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.575870Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:b44a09dd25b186ed7c7f0eee362dd7df8d356c2314f794f20bd82956129ad24c","observation_id":"08ec995b-a6d5-4fae-9458-ac3efb91a959","resolution":{"observed_at":"2026-08-08T17:53:43.575870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.580381Z","title":"Cao and S","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.580381Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:33811b916f1b4e185d7b3a2c2e2ac78c10fd0a53a238e9c7264098dedb96b2f6","observation_id":"73e63514-80f9-47f6-95d5-c71d300e80b7","resolution":{"observed_at":"2026-08-08T17:53:43.580381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.584905Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.584905Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:d29f259a3cf5271b5faf5d671ad94ba61b9a1fd26193607280f664297d89d341","observation_id":"974501fe-2aa1-45da-88aa-19b92eff89b6","resolution":{"observed_at":"2026-08-08T17:53:43.584905Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.589302Z","title":"Cao and S","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.589302Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:a3845de8d3355fe7c4c698d8aecfb9dbe5a6837940c41a43b14d6e1a04a1cb66","observation_id":"ee801670-6159-4699-81a2-3c89e22df0c9","resolution":{"observed_at":"2026-08-08T17:53:43.589302Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.594407Z","title":"Catino, D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.594407Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:c042d71935a05f8dbd3fe7602c48c45787d6ff293ccba544babe6450c2a797cd","observation_id":"cd7baab5-bc79-46a3-aa26-7b77521ce07b","resolution":{"observed_at":"2026-08-08T17:53:43.594407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.598969Z","title":"Catrina and Z","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.598969Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:bb1b389d5ddc58a502c81c91fca1fc434daffdda1d9239e7d25a8f7ac40162c3","observation_id":"f9251024-8941-4fb3-b7e5-adbe1d8654db","resolution":{"observed_at":"2026-08-08T17:53:43.598969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.603605Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.603605Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:1916f340290ee8f9f7f0ee665511f6b3641b47ec50b59a9a040dcfd2ab2c5fe4","observation_id":"b0e39e35-f66c-4032-8269-cf1fdf817429","resolution":{"observed_at":"2026-08-08T17:53:43.603605Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.608134Z","title":"Chen and C","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.608134Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:6555b6c3296199e2a16806e2182d968f2917adbdc9993baecbf2dcacb6fe9734","observation_id":"fca9ed67-3717-44bb-be4b-c65e4e45d10a","resolution":{"observed_at":"2026-08-08T17:53:43.608134Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.612822Z","title":"Chen and C","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.612822Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:9572ce0bb7c0e676cb40e7593e85180c700bed0f602c21d10ae0b289ef0374fb","observation_id":"9663cc96-86eb-4347-a16b-de8be11be343","resolution":{"observed_at":"2026-08-08T17:53:43.612822Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.617338Z","title":"Chen and C","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.617338Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:361c17d09b6c52f499ce08f0e38fe695a86fb8e6f9d15358ae1c1c222173146e","observation_id":"7b4d4791-bb4f-4f47-af88-d3038e907149","resolution":{"observed_at":"2026-08-08T17:53:43.617338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:43.622062Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.622062Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:34dc454b0c056811711384fbb42f2bee082232abd68e71b21eb30b7ac42392d9","observation_id":"56a562a9-dede-4c0c-9c61-908011f7902e","resolution":{"observed_at":"2026-08-08T17:53:43.622062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.393737Z","title":null,"venue":null,"work_id":"7f21b5d9-1c75-4d67-bf70-8ad3f3cd7210","year":2006},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.626740Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:724884b05fc3cb1739e5d2c3bf07dd7378d955f186f09505abcfe295560150dd","observation_id":"9a497b16-0c68-4d88-b228-2631463a29ef","resolution":{"observed_at":"2026-08-08T17:53:45.398259Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2312.16017","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.338999Z","title":"Chen and Y","venue":null,"work_id":"013e54fb-ac58-4f62-8128-22d1bf6cc168","year":2023},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.631465Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:602fb993bf5b2cccd4d447ced1515dea8aeca16acd9fdc5ee85b211e6cb20b46","observation_id":"a74f3ff2-9c34-499f-9e8d-351250b5f2cb","resolution":{"observed_at":"2026-08-08T17:53:44.346778Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.380206Z","title":"Cingolani and G","venue":null,"work_id":"4ff5f409-7c2c-4fc1-b5d8-8e9e782af577","year":2009},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.636201Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:9e0d85f8d4d52e3fce4b4afbadbbc252b2d75ef378a66c4a150819a47254a1c5","observation_id":"e97988ad-fcff-4b44-bb3f-d53125bc81e2","resolution":{"observed_at":"2026-08-08T17:53:45.384712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.366579Z","title":"Ciraolo, A","venue":null,"work_id":"a09e9bc7-1f87-4e2c-82fb-0c4fa8735351","year":2020},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.640820Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:46702dea82ea888f07b479d7345ce4bfc9d82e05055681e9ddfc59982fa977f4","observation_id":"c6f9c4f8-7cb8-4647-a03d-b055191e04d2","resolution":{"observed_at":"2026-08-08T17:53:45.370918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.353028Z","title":null,"venue":null,"work_id":"f7f2ad4e-90b2-400d-a24d-4f41181270e1","year":2019},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.645407Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:91d9dd9f06f6e7557b60247891a019b3086cdba6085c33f868a4ee4e645370fe","observation_id":"01b37094-b9dc-4c7a-aaa0-07a47e8131a8","resolution":{"observed_at":"2026-08-08T17:53:45.357339Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.338079Z","title":null,"venue":null,"work_id":"f34488d6-8fa4-4897-a1e6-dbc2cf65f8a0","year":2018},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.650082Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:e18e12cd70c9767daddbe3932cbbd3568e101a24c687f05669227f8424b1001d","observation_id":"14ae4c6c-8505-43b9-961c-32c9bbc1a398","resolution":{"observed_at":"2026-08-08T17:53:45.343524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.04987","last_updated":"2025-01-21T03:21:55Z","snapshot_observed_at":"2026-08-10T21:22:56.198049Z","submitted_at":"2024-07-06T07:45:52Z","title":"Anisotropic Finsler $N$-Laplacian Liouville equation in convex cones","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.04987","snapshot_observed_at":"2026-08-08T17:53:43.654653Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.654653Z"},"links":{"cited_paper":"/paper/2407.04987","citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:996b6351f29956a568939bcc25c1f629b8689bcec1512465672de9a334a49e47","observation_id":"986c22dd-f43d-4f1c-9830-49908439cecf","resolution":{"observed_at":"2026-08-08T17:53:43.654653Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.324158Z","title":null,"venue":null,"work_id":"58e88053-2407-4d7d-ac93-9f78241e1a58","year":2024},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.659486Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:881d75d9583d8a86dff8ac882769b32bcc724ec6fd45c7be4278f13de320ed5f","observation_id":"b2f969cf-13d2-4c11-941f-3fda660b9c07","resolution":{"observed_at":"2026-08-08T17:53:45.328677Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.309924Z","title":"Dai and Z","venue":null,"work_id":"4d7357bf-bd53-4825-a82d-b394e7eb1e8d","year":2019},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.663753Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:e3658d6e94f9397ad343692bd546fdab4d67970286ff446f250726e10500f1c3","observation_id":"a596e385-0e58-4e2d-b1e6-9538ba1bc468","resolution":{"observed_at":"2026-08-08T17:53:45.314510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.295355Z","title":null,"venue":null,"work_id":"a45919d3-684a-44cf-b670-5a5b7df3a546","year":2021},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.668318Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:2fe8b4369736867e1b5ab7ec755a4fb91eb5028ec2a4b6ac6288f8b16d9edae1","observation_id":"2d5903ae-f8df-43c4-8a86-74aa62544adc","resolution":{"observed_at":"2026-08-08T17:53:45.299850Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.281561Z","title":"Dai and G","venue":null,"work_id":"b67df6be-2482-4a53-93c9-fea3fd0a8849","year":2018},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.672586Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:449306d4c1494452802d07d82c87e57700c2fdb2676d2d499bc85422474579bf","observation_id":"2c11506e-b6bf-4eb9-ac2c-f72da7e2b404","resolution":{"observed_at":"2026-08-08T17:53:45.285904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.267286Z","title":"Damascelli, Comparison theorems for some quasilinear degenerate ellip tic operators and applications to symmetry and monotonicity results , Ann","venue":null,"work_id":"c5ae55ea-c509-4e2c-ba6f-cf6ca7ff5e83","year":1998},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.676963Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:8283a8628b4d99b6c347e8079d60f62dea3a4200723a94fa1bb17a819e3c141c","observation_id":"3d1a3dc9-eaa5-4cae-bbc9-6bfdbc870762","resolution":{"observed_at":"2026-08-08T17:53:45.272298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.253375Z","title":"Damascelli, A","venue":null,"work_id":"d3fd6de2-e587-4c98-ae09-7dbdde3b061e","year":2009},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.681225Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:344e415fbf7262bf7800d9be5415ca1f58a4e0af4346d02fd34d55d9d0f8fb01","observation_id":"f57831eb-dd58-42a8-abc9-666eed170291","resolution":{"observed_at":"2026-08-08T17:53:45.257801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.239651Z","title":"Damascelli, S","venue":null,"work_id":"538af6b0-b4b2-434a-8624-7fd229f115c8","year":2014},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.685335Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:a867025afc0f689a442898d804515c525e725d43e4e763e360615c0e752efe08","observation_id":"d378d847-641e-4b0a-bfc8-dc8aa8c0e584","resolution":{"observed_at":"2026-08-08T17:53:45.244108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.225223Z","title":"Damascelli and F","venue":null,"work_id":"c14ff6a3-1cae-411c-ad84-ee0ca929bb62","year":1998},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.689472Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:a7acde4b3b14eda2912a1556c1e9b7a198df458d2ef6d6bcb8c522b97d00d597","observation_id":"75cebdb1-77e2-4258-aec1-654240496757","resolution":{"observed_at":"2026-08-08T17:53:45.229744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.210430Z","title":"Damascelli, F","venue":null,"work_id":"876ee496-f682-4c2d-962e-88d61a513a42","year":1999},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.693722Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:f9f7b91432e36dbd09d258e53ba5ba17feb89fc7d3200852c400b7c82f0f0a11","observation_id":"26f22cec-1575-4058-900d-123015481486","resolution":{"observed_at":"2026-08-08T17:53:45.215196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.195784Z","title":"Damascelli and M","venue":null,"work_id":"4a304101-e6fc-40cd-b844-3def4101fee6","year":2001},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.697882Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:76ce74a6c075eaafe2e774cf8fe0a4fa409c939bb1dc09f1fe9babc52577a552","observation_id":"3cc0c5e2-d236-49b9-9e3d-e9d7a03595cf","resolution":{"observed_at":"2026-08-08T17:53:45.200511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.181669Z","title":"Damascelli and B","venue":null,"work_id":"25f27083-6b79-4589-a9d6-95d59ea4b60e","year":2004},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.702464Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:eaeb4f45d605bae3489de9ed508a068fcf06caa6e4ab878275e0647188026525","observation_id":"02bcbc17-1eaf-4f95-8ddf-ea64ec887f30","resolution":{"observed_at":"2026-08-08T17:53:45.186052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.168011Z","title":"Damascelli and B","venue":null,"work_id":"7b6014e5-abcd-4b22-b8a3-b785bc5d7bc3","year":2006},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.706713Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:c61b532e492723232f2faebe501f8179a6a3352c247adae594711a70b265a3e4","observation_id":"7a1425f5-994e-44ab-9b78-5030c033498e","resolution":{"observed_at":"2026-08-08T17:53:45.172361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.153727Z","title":null,"venue":null,"work_id":"a3d6f2d6-86cb-4afd-b3be-1218e74fbb13","year":2019},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.711367Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:5b0a0afc08e321087979363005e0e4086403f9e3c5332968652b7c64ffe4d46e","observation_id":"a67e5d56-56e6-45da-9b9e-5c5f5184913e","resolution":{"observed_at":"2026-08-08T17:53:45.158439Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.139931Z","title":"DiBenedetto, C1+α local regularity of weak solutions of degenerate elliptic e quations, Nonlinear Anal., 7 (1983), no","venue":null,"work_id":"4e1e1a45-a400-4822-9480-2222c4ccc9ab","year":1983},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.716201Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:e64b5b3f5fe3eed31487b378ef5ba79538531c780e76b760fd8cd6792b63932f","observation_id":"3333773c-1216-4014-898d-953dd180e2a6","resolution":{"observed_at":"2026-08-08T17:53:45.144615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.126030Z","title":"Dipierro, Geometric inequalities and symmetry results for elliptic s ystems, Discrete Contin","venue":null,"work_id":"828701c1-6742-4998-b544-d630fa1fed30","year":2013},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.721056Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:5657b13ae77321ba705c827618d5b32d0831c76084e6f9c95f54e9c07cfc7a1a","observation_id":"7f3e00d9-c860-46fb-8943-8ecadb66b922","resolution":{"observed_at":"2026-08-08T17:53:45.130383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.111420Z","title":"Dipierro, L","venue":null,"work_id":"a85142f9-7236-4432-83e5-e8258cf626a6","year":2016},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.725580Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:34799d422251902df6a52bf622734dbc194c0df0eb3d6fd44d51d6f960778c80","observation_id":"7f224f30-079e-4f0e-8954-61e035adc9a4","resolution":{"observed_at":"2026-08-08T17:53:45.116131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.097188Z","title":null,"venue":null,"work_id":"b13c7035-4715-41a0-bc07-6cc96426eea4","year":2020},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.730161Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:d17fa249add0b1a0a3a77c7d03ff4110f0e0300751a276dc9dcc8a3c053e3d00","observation_id":"16e1e86f-9606-4834-b9ab-c5596a50b455","resolution":{"observed_at":"2026-08-08T17:53:45.101809Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.082956Z","title":"Esposito, L","venue":null,"work_id":"1b483132-d643-471e-b4f8-ad21eb245095","year":2024},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.734792Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:4202c3d91b69ed8cf0d6a697c22252240c4547a42da17ca345c00ebf956700a3","observation_id":"8b811118-54ad-4b98-90f9-c4b852ff72f4","resolution":{"observed_at":"2026-08-08T17:53:45.087529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.068868Z","title":"Farina, B","venue":null,"work_id":"6d054fde-f86b-4f48-b997-7b7abce5482d","year":2010},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.739676Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:6db9760b52454450eea3d9b6d2cd27d3a605c1d5124d0cbfb2bd6ab18b73a2b7","observation_id":"267dd714-81b3-443c-a668-52aefe86bf9f","resolution":{"observed_at":"2026-08-08T17:53:45.073288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.054755Z","title":"Ferrari and E","venue":null,"work_id":"6fea2c12-0c6b-4969-8c30-3447228d941c","year":2009},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.744026Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:e84d423d92090a7042868e639d07d1a2abfe92b8b28c1293424be58b30557767","observation_id":"8c1d5a49-4deb-4d5b-be64-af5db4357cc4","resolution":{"observed_at":"2026-08-08T17:53:45.059313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.040168Z","title":null,"venue":null,"work_id":"9df237b7-5394-4a8d-9e0f-d9a2a1eb8267","year":2010},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.748439Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:48f00cae5bca54b8dd7cf60772d86474897380b4ac28e66c07b5374b3bfb9f9f","observation_id":"4dccd3bf-34d6-4369-b5bc-a40d5783f738","resolution":{"observed_at":"2026-08-08T17:53:45.044972Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.025886Z","title":null,"venue":null,"work_id":"47891c44-adbc-4455-87e3-2b21b5c27501","year":2012},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.752793Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:45be89b31f020a2b1d3f4d95452d1309d91bb30dff2239b08354d3767b684bfc","observation_id":"f73192dc-5fda-44fb-9235-7508f285ba14","resolution":{"observed_at":"2026-08-08T17:53:45.030409Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:45.010813Z","title":"Frohlich and E","venue":null,"work_id":"6dedce63-efbc-4651-b146-803d0a699026","year":2003},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.757157Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:38e1448c64f770c24418f32183397812b5f7c8e6b5243af6fbc6913784afbb83","observation_id":"fcfa7d20-7a9a-4f2a-9cc1-8923e9893313","resolution":{"observed_at":"2026-08-08T17:53:45.015705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.995745Z","title":"Gidas, W","venue":null,"work_id":"255bcd28-ce70-4404-9fe0-5f423bd1dded","year":1979},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.761582Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:802109443112c93e7c154245237890e0a58f6c5484b1fc71b0bda22890c5f864","observation_id":"47299928-6e57-47ad-8344-8239398bcc8e","resolution":{"observed_at":"2026-08-08T17:53:45.000204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.982150Z","title":"Gilbarg and N","venue":null,"work_id":"4348b140-17b6-4cfb-9955-d1112d0ef2fa","year":1983},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.766214Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:ae2084f04883f8f52130d3fa04f92ef6a0b9966438164b4c885a57a018165ffe","observation_id":"b81c5f56-a08f-4f0c-ae35-ea68c5e7d428","resolution":{"observed_at":"2026-08-08T17:53:44.986670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.968387Z","title":"Guedda and L","venue":null,"work_id":"f9a67468-e6fb-4ed0-a441-4d68b9c46b73","year":1988},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.770485Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:56d1f790d4a1dded8d5cdf67f08059c74ae9a3144f368eedc9120d136a32a8b3","observation_id":"b0b02ab1-11d4-4a55-ba5e-89c451906830","resolution":{"observed_at":"2026-08-08T17:53:44.972864Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.954262Z","title":null,"venue":null,"work_id":"ef891ef7-b876-4e30-b9e6-8ead0917b905","year":2019},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.775286Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:0e7d09b1845d87f0fb586b2d9cd6590ff1a1f2accc4761cf38e561818101858c","observation_id":"eb669c28-8051-48d7-83b9-15540467d18d","resolution":{"observed_at":"2026-08-08T17:53:44.958513Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.940758Z","title":"Guo and J","venue":null,"work_id":"2c771238-e47b-4c90-86c7-bf84070e5160","year":2005},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.779459Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:dcd7b41bfc11a45b2612fd41f226bd3337f454822a7a3f3fbc910c3a6a32c499","observation_id":"365e1545-f44f-46d1-95a2-cf00c66a8324","resolution":{"observed_at":"2026-08-08T17:53:44.945198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.926783Z","title":"Han and F","venue":null,"work_id":"fdceb002-3175-48ef-b769-ff143361a9c4","year":2011},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.783724Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:d6a15623dfa7aec2cc1a9745d66eaf896d72a0d6a81f101b5eadcf347bf821b5","observation_id":"76a151a0-a973-449f-b7ce-d0705d03405f","resolution":{"observed_at":"2026-08-08T17:53:44.931561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.912455Z","title":"Kuusi and G","venue":null,"work_id":"8b69fc88-d8a6-4f68-a8c4-5ef3a2f7d349","year":2012},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.788046Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:ae5818f1a6f7ae2871f70a5af5f8e92b2954b89cbafff70b64f6b80c24d75fef","observation_id":"18f67a8c-341d-4d35-9843-4b97def03d7b","resolution":{"observed_at":"2026-08-08T17:53:44.917014Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.898029Z","title":"Le and D","venue":null,"work_id":"ff8ff356-ea8d-473c-97e8-9f724d1c3594","year":2023},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.792558Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:4757fc0924a379c87c025ca96e8d1c71dae78857995806c670fdd43049aa7ba1","observation_id":"bf1a9866-1de4-48dc-9eed-ac59175a6a8f","resolution":{"observed_at":"2026-08-08T17:53:44.903221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.883925Z","title":"Lei, Qualitative analysis for the static Hartree-type equation s, SIAM J","venue":null,"work_id":"793e86ba-42d9-4b59-a7f6-fc0ce1e4a5aa","year":2013},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.796990Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:8dcbeb92771027a916089a00543067b5373785ddecb131106a7c03e538f2d8fc","observation_id":"3f5e2348-23cd-409b-a848-1ff4abe794f6","resolution":{"observed_at":"2026-08-08T17:53:44.888515Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.870516Z","title":null,"venue":null,"work_id":"7e9ed240-b248-4baa-80f4-ff29a22ff405","year":2009},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.801391Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:cbe91d88ca5b2fb5840bb8ccb5d2e688d19214c529c1e8848105b5343cb152d9","observation_id":"6dae4585-3748-4b5c-849a-8278d7ed80b3","resolution":{"observed_at":"2026-08-08T17:53:44.874772Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.856789Z","title":null,"venue":null,"work_id":"8a7151de-bfb0-438c-86ac-d66b84511c57","year":1977},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.806087Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:58682713a707769f779d12946edca4083e091b1c38af2deb1ab848b416bd346f","observation_id":"5f0d5fe4-1317-43f4-9ca0-0a20f3c9cb2b","resolution":{"observed_at":"2026-08-08T17:53:44.861193Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.842534Z","title":null,"venue":null,"work_id":"865328bd-4b9e-400f-b4a4-d73a7a272b2e","year":1983},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.810915Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:b62df4871f77dae9bd7d3ce686d86c600087b9df06e85e0a0394969af4f3d324","observation_id":"fb7df5eb-2258-460f-b640-257bd7779c01","resolution":{"observed_at":"2026-08-08T17:53:44.846836Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.828919Z","title":null,"venue":null,"work_id":"d37a4943-a4bd-49d1-831c-16b2c8d7efdf","year":1977},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.815434Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:3ed4abeed285d46b572e601088386ff58e26c086ae41ebcb5fac8fe76f1e10ae","observation_id":"93a660f7-c33e-4773-8fd8-4eb0a4ee3a6b","resolution":{"observed_at":"2026-08-08T17:53:44.833287Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.814877Z","title":null,"venue":null,"work_id":"cdd357a9-8bfb-42a0-8ddf-c07092c6ea20","year":1988},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.820392Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:8984c603f01e0d443051c72afe5a9bb90d1c4587e9b775c92a7d3a4ea5f924d1","observation_id":"2106494a-7e54-4107-abe7-24348265bf5d","resolution":{"observed_at":"2026-08-08T17:53:44.819634Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.801037Z","title":null,"venue":null,"work_id":"aaea3dd3-b635-4879-bd46-8c40808f587f","year":1998},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.824903Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:4f0a308258ef48a53565110f2d294ac337786714218adbd90de04ee36b52f364","observation_id":"0f5d1098-d29b-4d52-9915-6c6bf3539b86","resolution":{"observed_at":"2026-08-08T17:53:44.805516Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09033","last_updated":"2024-12-12T07:48:20Z","snapshot_observed_at":"2026-08-11T17:19:07.886669Z","submitted_at":"2024-12-12T07:48:20Z","title":"Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.09033","snapshot_observed_at":"2026-08-08T17:53:43.829333Z","title":"Lin and X","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.829333Z"},"links":{"cited_paper":"/paper/2412.09033","citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:99b4a6e121803ef015b65e00080030eeef000e24f48e30c00173a3503d6dc0b8","observation_id":"8745d8ff-9732-4f56-ac9d-f141fc556e9e","resolution":{"observed_at":"2026-08-08T17:53:43.829333Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.786892Z","title":null,"venue":null,"work_id":"f7ead3ac-d681-443b-a329-070a9626c856","year":1980},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.834339Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:bbacaf4fcd0f92fa650e97ad3b5d8d493b7017d13c94fb499df90ce96b236b70","observation_id":"e6815a27-f6f7-4a31-8eef-acd20137f254","resolution":{"observed_at":"2026-08-08T17:53:44.791490Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.773311Z","title":null,"venue":null,"work_id":"7e1b5772-0999-49cb-8c6a-1089aa512a34","year":1985},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.838862Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:fab2a1fd0d6f97763b1b5512c2e3aac0397dbd27c96ec9841bcb98a442d0aaec","observation_id":"378d4cd5-b20e-4693-8b7c-db99431c9d01","resolution":{"observed_at":"2026-08-08T17:53:44.777546Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.760096Z","title":null,"venue":null,"work_id":"1d2e5000-359d-44b9-8599-7fdf4f1ecdc4","year":1985},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.843309Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:b6f9baddd7ce48f3a553849d0d1c4798db76ffbff40740341992e5dce9b9034e","observation_id":"bfe8ef7d-9404-4e21-a315-158a8d337761","resolution":{"observed_at":"2026-08-08T17:53:44.764232Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.746019Z","title":"Liu, Regularity, symmetry, and uniqueness of some integral type quasilinear equations, Nonlinear Anal., 71 (2009), 1796–1806","venue":null,"work_id":"b9910b10-4154-475e-9326-e087eef59af7","year":2009},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.847830Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:f10b2ceacfebf90a05c40e11b046cb6bdaffaa37d43c565c79b849afa7f099db","observation_id":"a7a91e4c-943a-425c-9143-d6f1de180e68","resolution":{"observed_at":"2026-08-08T17:53:44.750749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.732331Z","title":"Ma and L","venue":null,"work_id":"0652cd29-0437-4454-86b9-5a0093d2aa7c","year":2010},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.852107Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:f3ff24e987f1c7f67a9b86685e74dd3268ddae8a4f42c78bad624de72cf41be8","observation_id":"e68c04d8-da3e-4681-baa2-24349c92095d","resolution":{"observed_at":"2026-08-08T17:53:44.736593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.717642Z","title":"Ma and Q","venue":null,"work_id":"7ec7c78f-21fe-40c6-8395-3451c942321f","year":2023},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.856627Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:cffb4d79911e95ac1bd29d23d76f4434f3898e3657b8e39162e902fa98155731","observation_id":"8ed6fdb8-dca7-462b-9faf-2d22f166f4f0","resolution":{"observed_at":"2026-08-08T17:53:44.722287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.16428","last_updated":"2024-04-19T15:28:20Z","snapshot_observed_at":"2026-07-06T16:53:31.770042Z","submitted_at":"2023-11-28T02:13:50Z","title":"Jerison-Lee identity and Semi-linear subelliptic equation on CR manifold","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.16428","snapshot_observed_at":"2026-08-08T17:53:43.860938Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.860938Z"},"links":{"cited_paper":"/paper/2311.16428","citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:082df4c2f3f369a5d10bbbf9e3fd2901dbb1ee80ef8aa8b83c30831ee9637c66","observation_id":"4fd35061-8045-42e9-a88d-29178bdb856f","resolution":{"observed_at":"2026-08-08T17:53:43.860938Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.703053Z","title":"Merch´ an, L","venue":null,"work_id":"6ea82f9e-4487-4554-8b29-e616ecb1f011","year":2014},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.865677Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:d8559f09c779f983dd4b2c206837df8aee6d045d6c325c2bccfb7e678e3f9e15","observation_id":"4cf2b15f-0b18-4b69-8cab-e9c3251d1b15","resolution":{"observed_at":"2026-08-08T17:53:44.708093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.689414Z","title":null,"venue":null,"work_id":"4bf1b305-fd2d-4c5e-9301-82e584d8961c","year":2009},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.870111Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:7c15f5ad87cf4f897b8c326e70cc702cc5d2c585c24a52e8556a11e959a896e2","observation_id":"279253fe-750a-4bd6-9eb3-d2f732e041e0","resolution":{"observed_at":"2026-08-08T17:53:44.693766Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.675424Z","title":"Moroz and J","venue":null,"work_id":"abaaf090-bd43-45a7-8df7-dcf9035c82fe","year":2013},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.874671Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:17c1de746499af3e3e34ceee5d14c1b64a51b27733c433f1e1f272376c90c6b1","observation_id":"de14748a-daeb-48d3-8bfc-9f660f6b0e05","resolution":{"observed_at":"2026-08-08T17:53:44.680019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.660960Z","title":"Moser, A new proof of De Giorgi’s theorem concerning the regularity problem for elliptic differential equations , Comm","venue":null,"work_id":"1388fd19-4f51-4c80-abdb-af482bc00d17","year":1960},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.879284Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:5fcefb58cbf8338da47bfa76624aa523e8cf5156ef1eee4e9ca5f13a82c8cac5","observation_id":"da014941-0386-4474-94e7-ef9ca191121b","resolution":{"observed_at":"2026-08-08T17:53:44.665635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.646948Z","title":null,"venue":null,"work_id":"55f7f65a-0442-4cf6-90a7-5352665accf7","year":2019},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.884272Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:988c7509bed5efc832102d848d3696d4fa85865b06a049f47d4dd1eb2f74661e","observation_id":"3f16cc40-7caa-4efd-9041-b42d07bd12a8","resolution":{"observed_at":"2026-08-08T17:53:44.651422Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.632686Z","title":"Oliva, B","venue":null,"work_id":"69d1491a-2e6c-4037-b2c3-e4c5d4bfa67a","year":2020},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.888525Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:e9f5774f0ef091dc31deee0a98bf5ea21b14674da3534d6f8c33cd0228dee555","observation_id":"05a5d363-f47b-420e-8f9a-30f659260e4c","resolution":{"observed_at":"2026-08-08T17:53:44.637410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.05141","last_updated":"2022-10-11T04:47:33Z","snapshot_observed_at":"2026-08-10T08:08:29.254762Z","submitted_at":"2022-10-11T04:47:33Z","title":"On the classification of entire solutions to the critical p-Laplace equation","version":1},"cited_work":{"arxiv_id":"2210.05141","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.05141","snapshot_observed_at":"2026-08-08T17:53:44.036780Z","title":"On the classification of entire solutions to the critical p-Laplace equation","venue":"math.AP","work_id":"a43bdd1b-6e25-4938-809f-9624be6915f5","year":2022},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.892918Z"},"links":{"cited_paper":"/paper/2210.05141","citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:4967414a02ee7a008e6e75bcdcc3d770a6aaa001929c1efa6ebd1f8839d34c21","observation_id":"0545f0d0-cdc5-42aa-b1fe-4668729519a0","resolution":{"observed_at":"2026-08-08T17:53:44.043798Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.618170Z","title":"Pol´ aˇ cik, P","venue":null,"work_id":"2eca8bb1-3105-4808-aa4e-38b56620403a","year":2007},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.897975Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:03cbdc8651633c80f59f4fea23729ece88b0632d8a0216aa763a92ae6d7e0a7d","observation_id":"663ce520-8cb5-4a6c-87d5-543ad0e0a4c7","resolution":{"observed_at":"2026-08-08T17:53:44.622625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.604259Z","title":"Pucci and J","venue":null,"work_id":"45da33ce-e53c-45f0-8d8a-d179b1b5058b","year":2007},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.902491Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:6a50c7508a4824db8060f220199bcc12cd7531f95f22096ced53e686643df665","observation_id":"645211b4-196c-447c-b4f1-a508117d7d11","resolution":{"observed_at":"2026-08-08T17:53:44.608628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.589895Z","title":"Sciunzi, Classification of positive D1,p (RN )-solutions to the critical p-Laplace equation in RN , Advances in Mathematics, 291 (2016), 12–23","venue":null,"work_id":"7063f9f4-9fa6-46b4-9b7e-b3ad1a93a808","year":2016},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.907216Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:5e2f18b4c1035cae11572711c7a50e65ad7af990d287f53969db9676366194f7","observation_id":"4e2810d1-f716-4a84-b804-45b59570d638","resolution":{"observed_at":"2026-08-08T17:53:44.594820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.576188Z","title":"Sciunzi, Regularity and comparison principles for p-Laplace equations with vanishing source term , Commu- nications in Contemporary Mathematics, 16 (2014), no","venue":null,"work_id":"a6b667db-0284-4975-96e3-28821451a29c","year":2014},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.911621Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:2be252d8a1ffdd1bab862706f83d879d80de9e4ffabf30026e6bdbdd6ffa9cb0","observation_id":"e6117c7e-237a-4d96-97f7-9fb7bcfb3a3b","resolution":{"observed_at":"2026-08-08T17:53:44.580767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.562201Z","title":"Serrin, Local behavior of solutions of quasi-linear equations , Acta Math., 111 (1964), 247–302","venue":null,"work_id":"4ad31bec-bad5-4770-9fb6-363d7a3c0b11","year":1964},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.916083Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:58c9eb0f0bafa70de9ecdc57b28efbccbc945e4c09518bac000acb9a4aa8fbf9","observation_id":"1600d227-3ed0-4978-8213-493b79ddac83","resolution":{"observed_at":"2026-08-08T17:53:44.566569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.548038Z","title":"Serrin, A symmetry problem in potential theory , Arch","venue":null,"work_id":"2ca9fc1d-3a77-4e85-bf26-7026aa21283c","year":1971},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.920892Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:0c9b721c5edde37acf8c77185b03286688ad36dc04e2d00702b1820ee6113c13","observation_id":"2cb6170f-a430-4230-89d7-4c8657cf90c7","resolution":{"observed_at":"2026-08-08T17:53:44.552636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.533912Z","title":"Serrin and H","venue":null,"work_id":"d3dcc74f-1b39-4d96-aaa7-f90f75244e23","year":2002},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.925449Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:0f164906a875c73d194b7f5b1da73a1fa5d79100224ad294ff91c4910496593e","observation_id":"b7d00926-4c4e-4b20-93f6-b7d9549cb741","resolution":{"observed_at":"2026-08-08T17:53:44.538495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.519524Z","title":null,"venue":null,"work_id":"8600ece7-7820-45dc-a1a3-edbe95b8e251","year":1958},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.929840Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:5eec1580a61162db8a5ea63ae981ec41b7f989ca21f7774d73ac1d534db75791","observation_id":"6f24bea1-b96b-43f6-b484-50c5ddcc575a","resolution":{"observed_at":"2026-08-08T17:53:44.524246Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.505174Z","title":"Su and H","venue":null,"work_id":"dd49c5da-2d60-4b3b-b399-85e8500a5847","year":2018},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.934300Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:cbd9cdcb58b60dc5ce8f82feac25e4c44d62150d9c1d6b04b4d4e27e2c664f39","observation_id":"0ded3c95-31fa-462c-af19-88ecf2b14faf","resolution":{"observed_at":"2026-08-08T17:53:44.509834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.490564Z","title":"Talenti, Best constant in Sobolev inequality , Ann","venue":null,"work_id":"f306af28-200f-4790-8112-2fd38da62b44","year":1976},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.938750Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:7e9cfbf8c15281c73d66a571d0746dae837f255d8853dfac86dd862b38c78dbb","observation_id":"f1183d8b-6466-45c3-b118-cc6c9361f69f","resolution":{"observed_at":"2026-08-08T17:53:44.495226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.476217Z","title":"Teixeira, Regularity for quasilinear equations on degenerate singul ar sets , Math","venue":null,"work_id":"10346171-4198-4c86-84fa-543251effda3","year":2014},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.943444Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:601a60e5d183185084fadb567868ee53a60b19b0b1ec68278946e9f1a85acd9e","observation_id":"7b10c91c-7ba9-4a7e-ac48-c58593acbc99","resolution":{"observed_at":"2026-08-08T17:53:44.481003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.462457Z","title":"Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J","venue":null,"work_id":"c5cf08c4-d81b-410b-b1e9-91fa93864127","year":1984},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.947986Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:b16b91a1a29c0f19db69a112672577f6ab80f6d75a1b9d1dacacbb8ad669012f","observation_id":"e35d659b-34f5-4de1-9382-3524e320d16b","resolution":{"observed_at":"2026-08-08T17:53:44.466974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.448406Z","title":null,"venue":null,"work_id":"d8b3be36-b56b-421a-9071-21c84d66d350","year":1968},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.952485Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:2e494cdc7b60c2ab7f0020705fe7cddcc288d1a15f3b4388c651c74acc1508e0","observation_id":"2537dbb2-2f02-4936-a624-f4a49dc7a35f","resolution":{"observed_at":"2026-08-08T17:53:44.452839Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.433803Z","title":null,"venue":null,"work_id":"56233daf-c21b-49b8-88ce-1d9458c68613","year":1984},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.957153Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:3ac1d8fa3d1412d30a843dc98bce304a2b39fb131ff03e322d03f56f84a75110","observation_id":"c2ca5aa0-7ecf-4a82-8eae-f07828290312","resolution":{"observed_at":"2026-08-08T17:53:44.438314Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.417705Z","title":"V´ etois, A priori estimates and application to the symmetry of soluti ons for critical p–Laplace equations, J","venue":null,"work_id":"3a9b466f-51f1-427a-ad04-ac7c298e0f73","year":2016},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.961818Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:5f2371b6a3a1a9fa93b45cd99bcc5101d3dcd8b0bbfa1f687c4212f549911fcf","observation_id":"d96a67d0-6c79-4469-9cff-d14fd86ad96b","resolution":{"observed_at":"2026-08-08T17:53:44.422873Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.402864Z","title":"Wei and X","venue":null,"work_id":"4f087a7c-d8ed-449d-a2b1-130f88273685","year":1999},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.966154Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:c06a963072ca1c99c6f269900f0de6fe0e18ee40190ab525439048ea2c518b70","observation_id":"1891447c-ff42-41ed-bf1f-e2e42fcd234d","resolution":{"observed_at":"2026-08-08T17:53:44.407684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.387606Z","title":null,"venue":null,"work_id":"cd977c06-c49b-4cfe-9ef5-fc47cd862cc0","year":2015},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.970463Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:fab0c0656a47293b24d4776a5303e410fe629b4a0ba52311db3d99d1f829886d","observation_id":"388c88be-9911-46f5-a31c-8dadc7038c16","resolution":{"observed_at":"2026-08-08T17:53:44.392212Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.372919Z","title":null,"venue":null,"work_id":"ca7105e0-e406-48ef-aaf9-7da2749bf417","year":2017},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.974902Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:495cf75225b42867f1a80c9e1c47eca86e5bdd90c505cc08b945f070e284c1bf","observation_id":"7237b2fa-4362-462f-8c22-04b49b6d9a8f","resolution":{"observed_at":"2026-08-08T17:53:44.377349Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T17:53:44.356908Z","title":"Zhang and S","venue":null,"work_id":"61302369-2593-422c-a596-aa4bea6f4562","year":2003},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.979268Z"},"links":{"citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:fd1f3d2b2bddc27a8bac372687626bb49b7833acbfc871d29416c7155da655d0","observation_id":"97b0d19a-5d91-4eba-9a8c-d487f7842627","resolution":{"observed_at":"2026-08-08T17:53:44.362591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.17602","last_updated":"2024-07-17T15:54:13Z","snapshot_observed_at":"2026-08-10T01:47:25.985969Z","submitted_at":"2024-02-27T15:30:34Z","title":"Classification Theorem For Positive Critical Points Of Sobolev Trace Inequality","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.17602","snapshot_observed_at":"2026-08-08T17:53:43.983477Z","title":"Zhou, Classification theorem for positive critical points of Sobo lev trace inequality , 2024, preprint, arXiv:2402.17602, 48 pp","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-08T17:53:43.983477Z"},"links":{"cited_paper":"/paper/2402.17602","citing_paper":"/paper/2502.07816"},"observation_digest":"sha256:98070241a265bad23e903849c44eeb093e28340cb519f44af430862178fb6cf7","observation_id":"9a7d6bb0-7f05-4874-b1a4-46f2227e389e","resolution":{"observed_at":"2026-08-08T17:53:43.983477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2502.07816","last_updated":"2025-02-09T10:20:53Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-08T17:41:02.170321Z","submitted_at":"2025-02-09T10:20:53Z","title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential"},"reference_resolution":{"displayed":98,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":48,"verified_exact":2,"verified_fuzzy":48},"total_outbound_references":98},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 98 of 98 outbound references and 1 inbound Pith citation observation for arXiv:2502.07816."}