Paper Citation Record · LEDGER

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation

As of 7 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2507.12258.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.12258 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:05:00.585019Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:17:12.089698Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy31
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e294f756-e38f-4a40-90ed-c50c3eb4f731 · outbound

This paper cites Abatangelo and M.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Abatangelo and M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:08.624795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6bb12363-a73c-4e10-8225-6375809ce740 · outbound

This paper cites Alarc´ on and A.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Alarc´ on and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:08.411127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6d2adcb-9d44-4219-96e7-f060afbbd201 · outbound

This paper cites Ambrosetti, J.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Ambrosetti, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:08.203457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 068ab75c-fecd-4144-a77b-3982d98c8219 · outbound

This paper cites Ambrosetti and A.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Ambrosetti and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:08.012289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 59409cd3-f16c-41a0-a311-30c9aaebdd35 · outbound

This paper cites Bahri and J.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Bahri and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:07.819237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e6880399-97f9-468f-abca-0907fb41465b · outbound

This paper cites Bam´ on, I.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Bam´ on, I

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:07.626595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8aab4e3a-56ba-4a7c-a5e0-fc0d091d496f · outbound

This paper cites Barles, E.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Barles, E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:07.448357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ba4c555b-830c-4896-aef9-c9d06aa0e86c · outbound

This paper cites Barles, E.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Barles, E

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:07.254955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99e0ae5c-4339-463e-8239-184e60f7b962 · outbound

This paper cites Barrios and A.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Barrios and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:07.098761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 83eea396-6739-480d-a2f6-94bc30a57176 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:06.917204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9acd7583-504b-464a-9bee-951969c5b013 · outbound

This paper cites Biagi, S.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Biagi, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:06.724276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a9374168-0517-4a5e-b6a9-7439b0319847 · outbound

This paper cites Biagi, S.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Biagi, S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:06.525122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f49e0ab9-7cd8-4e3f-a227-32887cf66a0c · outbound

This paper cites Biagi, S.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Biagi, S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:06.279218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 061f4157-cc63-410d-98c6-eb526e50debe · outbound

This paper cites Biswas, M.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Biswas, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:06.092278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a07c492d-f571-466b-b1bb-b0b2d876572a · outbound

This paper cites Bonforte, P.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Bonforte, P

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:05.928736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 47ca3437-b5ea-4239-a686-41e0dc97bbb7 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:05.794978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 345a31dc-5ee6-4eb1-940e-42ae93bfb4d3 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:05.660003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b795d909-37e3-4ca7-9c90-920ed1eda269 · outbound

This paper cites bubble-tower.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation bubble-tower

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:05.545650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8616578b-6c1d-48e7-a416-b9cfebffbb11 · outbound

This paper cites Chen and C.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Chen and C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:05.390924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 437634e5-389e-4e2e-873b-521a52d61122 · outbound

This paper cites Davila, M.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Davila, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:05.266004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4a5573ed-10d6-43c5-a1ce-bc6aab598be5 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:05.135595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2df2ee6-27fc-450c-a1a7-fa299cdbe833 · outbound

This paper cites del Pino, P.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation del Pino, P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:05.005507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e55e717b-dd31-48e8-9e3d-fab89f284da6 · outbound

This paper cites Di Nezza, G.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Di Nezza, G

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T17:04:58.084891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5c2ee65-9d69-4c36-9504-38715e406aa5 · outbound

This paper cites Dipierro, X.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Dipierro, X

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:04.896827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 344cccf7-c73e-483c-abae-62d0810f820f · outbound

This paper cites Dupaigne, B.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Dupaigne, B

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:04.783458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f2f396e3-3223-4015-83be-371ef5799c41 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:04.623839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e6fb0ed-c90f-4465-bb54-ed0d079e9170 · outbound

This paper cites Felmer, A.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Felmer, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:04.479603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 713f0887-3662-46a4-9e78-5795524fd326 · outbound

This paper cites Ferrari and I.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Ferrari and I

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:04.310485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f1578438-5562-4f54-a40a-61260f841613 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:04.092189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1db8cdbd-a52d-4f44-af50-3358262f8382 · outbound

This paper cites Floer and A.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Floer and A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:03.947056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc1c8b12-caf9-49b1-b966-0dbaf2ab4c64 · outbound

This paper cites Garain and J.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Garain and J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:03.809321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa4b33bc-b3c2-45b9-b25d-e4ab01acf941 · outbound

This paper cites Gidas and J.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Gidas and J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T17:04:59.099461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 208b38b0-868e-47aa-8300-02cba908dcb5 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:03.632720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c6355afc-36eb-4981-82fd-44ef32e9bf44 · outbound

This paper cites Lin and W.-M.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Lin and W.-M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:03.438911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation af8bbd1d-7480-4d64-b383-3d16771e6b57 · outbound

This paper cites Magnus, F.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Magnus, F

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:03.224053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e321578d-da54-46b6-92e4-4b8daba6eb76 · outbound

This paper cites Maione, D.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Maione, D

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:02.977625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7d154789-483f-43b9-ad8e-0aa14585b1f7 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:02.856081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7d817fbe-ab53-446e-9413-5906ca5968c5 · outbound

This paper cites Ni and I.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Ni and I

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:02.637175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ae1d7b73-d112-4cce-aa46-31f6aa5a7a1c · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T17:04:59.849859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7eaf9e38-df6d-4724-a740-876fd1ee1dc8 · outbound

This paper cites Ros-Oton and J.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Ros-Oton and J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:02.458823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e430fb23-533e-47be-8048-23bbd8e037b8 · outbound

This paper cites Ros-Oton and J.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Ros-Oton and J

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:02.148957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9753df84-4a5a-4eff-b4c4-8b4ff86161b7 · outbound

This paper cites Servadei and E.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Servadei and E

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:05:01.868314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 24a01dbb-7fe7-42c7-a51a-1f0aa2085491 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:01.593523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99d5bfdf-4f67-4427-ab1a-e19cd35ff804 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:01.327531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1bb939a8-46c9-4426-8c61-d2564c86f027 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:01.064213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 113d7f70-89dc-4503-96c2-476c0669acd6 · outbound

This paper cites an unresolved cited work.

Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:05:00.864825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 8db8e335-34cb-4b76-8100-e2c35d4f403a · inbound

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' cites this paper.

On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T11:17:12.089698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.