{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6MWS2WQADNPY4NEZYUIHLRPQB6","short_pith_number":"pith:6MWS2WQA","schema_version":"1.0","canonical_sha256":"f32d2d5a001b5f8e3499c51075c5f00fbb716756b97369b3d62a995cc8851ad1","source":{"kind":"arxiv","id":"1302.2773","version":1},"attestation_state":"computed","paper":{"title":"Bubble concentration on spheres for supercritical elliptic problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Angela Pistoia, Filomena Pacella","submitted_at":"2013-02-12T12:49:30Z","abstract_excerpt":"We consider the supercritical Lane-Emden problem $$(P_\\eps)\\qquad\n  -\\Delta v= |v|^{p_\\eps-1} v \\ \\hbox{in}\\ \\mathcal{A} ,\\quad u=0\\ \\hbox{on}\\ \\partial\\mathcal{A} $$\n  where $\\mathcal A$ is an annulus in $\\rr^{2m},$ $m\\ge2$ and $p_\\eps={(m+1)+2\\over(m+1)-2}-\\eps$, $\\eps>0.$\n  We prove the existence of positive and sign changing solutions of $(P_\\eps)$ concentrating and blowing-up, as $\\eps\\to0$, on $(m-1)-$dimensional spheres. Using a reduction method (see Ruf-Srikanth (2010) J. Eur. Math. Soc. and Pacella-Srikanth (2012) arXiv:1210.0782)we transform problem $(P_\\eps)$ into a nonhomogeneous p"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1302.2773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-12T12:49:30Z","cross_cats_sorted":[],"title_canon_sha256":"e402bd926fc77751669ddeee57e78fcce60e517cfcf3cc1c0ec9b39a35d7a472","abstract_canon_sha256":"fba2318315d2350d3118685fd7fb7908715f462093446c6d8eb5b86dd6305c45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:50.898202Z","signature_b64":"HvVmSTMR3KktgpI5soTmiEiycsQp6wICmtcNYUydYk74HNlI5D0BiPCxaEyU8ctnUYGJLbRbi5kWOfknzN65AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f32d2d5a001b5f8e3499c51075c5f00fbb716756b97369b3d62a995cc8851ad1","last_reissued_at":"2026-05-18T03:33:50.897410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:50.897410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bubble concentration on spheres for supercritical elliptic problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Angela Pistoia, Filomena Pacella","submitted_at":"2013-02-12T12:49:30Z","abstract_excerpt":"We consider the supercritical Lane-Emden problem $$(P_\\eps)\\qquad\n  -\\Delta v= |v|^{p_\\eps-1} v \\ \\hbox{in}\\ \\mathcal{A} ,\\quad u=0\\ \\hbox{on}\\ \\partial\\mathcal{A} $$\n  where $\\mathcal A$ is an annulus in $\\rr^{2m},$ $m\\ge2$ and $p_\\eps={(m+1)+2\\over(m+1)-2}-\\eps$, $\\eps>0.$\n  We prove the existence of positive and sign changing solutions of $(P_\\eps)$ concentrating and blowing-up, as $\\eps\\to0$, on $(m-1)-$dimensional spheres. Using a reduction method (see Ruf-Srikanth (2010) J. Eur. Math. Soc. and Pacella-Srikanth (2012) arXiv:1210.0782)we transform problem $(P_\\eps)$ into a nonhomogeneous p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2773","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1302.2773","created_at":"2026-05-18T03:33:50.897541+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.2773v1","created_at":"2026-05-18T03:33:50.897541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2773","created_at":"2026-05-18T03:33:50.897541+00:00"},{"alias_kind":"pith_short_12","alias_value":"6MWS2WQADNPY","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6MWS2WQADNPY4NEZ","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6MWS2WQA","created_at":"2026-05-18T12:27:36.564083+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6","json":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6.json","graph_json":"https://pith.science/api/pith-number/6MWS2WQADNPY4NEZYUIHLRPQB6/graph.json","events_json":"https://pith.science/api/pith-number/6MWS2WQADNPY4NEZYUIHLRPQB6/events.json","paper":"https://pith.science/paper/6MWS2WQA"},"agent_actions":{"view_html":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6","download_json":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6.json","view_paper":"https://pith.science/paper/6MWS2WQA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.2773&json=true","fetch_graph":"https://pith.science/api/pith-number/6MWS2WQADNPY4NEZYUIHLRPQB6/graph.json","fetch_events":"https://pith.science/api/pith-number/6MWS2WQADNPY4NEZYUIHLRPQB6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6/action/storage_attestation","attest_author":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6/action/author_attestation","sign_citation":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6/action/citation_signature","submit_replication":"https://pith.science/pith/6MWS2WQADNPY4NEZYUIHLRPQB6/action/replication_record"}},"created_at":"2026-05-18T03:33:50.897541+00:00","updated_at":"2026-05-18T03:33:50.897541+00:00"}