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Paper Citation Record · LEDGER

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2411.16377.

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

pith.paper-citation-record.v1
2411.16377 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:25:27.246588Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:19:17.632226Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:19:18.025174Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved7
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External citation measurements

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Outbound references

Observation 6bca4e3f-252e-4341-9b4c-5fa93ed68a3e · outbound

This paper cites Garc ´ ıa Azorero and I.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Garc ´ ıa Azorero and I

Reference 1

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raw_fallback, observed 2026-08-12T13:25:27.488468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 248ac196-832d-471c-b96d-7b9f99e23552 · outbound

This paper cites Barles, Remarks on uniqueness results of the first eigenvalue of the p-Laplacian, Ann.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Barles, Remarks on uniqueness results of the first eigenvalue of the p-Laplacian, Ann

Reference 2

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raw_fallback, observed 2026-08-12T13:25:27.480743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.177452Z digest=sha256:b7f8e0c1af99b63cc5f3d41de56b6095742129d87d6f332ebded03f28174a144

Observation f00b52e3-8256-41d9-9a4f-076f79de467c · outbound

This paper cites Di Benedetto, C1+α local regularity of weak solutions of degenerate elliptic equations, N onlinear Anal.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Di Benedetto, C1+α local regularity of weak solutions of degenerate elliptic equations, N onlinear Anal

Reference 3

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raw_fallback, observed 2026-08-12T13:25:27.472847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.180256Z digest=sha256:8625a836c5239d86088262284241b2b6a82e2857af42484be6b689f68a8113dc

Observation 3e094820-d17a-4519-bbb5-60009263a995 · outbound

This paper cites Borell, Capacitary inequalities of the Brunn-Minkowski type, M ath.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Borell, Capacitary inequalities of the Brunn-Minkowski type, M ath

Reference 4

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raw_fallback, observed 2026-08-12T13:25:27.464982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.183851Z digest=sha256:8e9f8cd90ed53c8f50ee53b493cbee93c14630d19287260541d268d402e481d8

Observation 90480eb9-f43e-4bee-859c-4cc25a6b48f1 · outbound

This paper cites Borell, Greenian potentials and concavity, Math.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Borell, Greenian potentials and concavity, Math

Reference 5

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raw_fallback, observed 2026-08-12T13:25:27.457431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.186825Z digest=sha256:c96f9cf5b67f6bfb8b5bc8ef899d23ed66628f1d099b8fc9a2564c6983733672

Observation 5d746caf-8374-4743-83ef-c42a2e0dafa9 · outbound

This paper cites an unresolved cited work.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Unresolved cited work

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.190407Z digest=sha256:fca66d520cb458226f6fd6c87c5a882c4d5888c425ad14414e51f6ea0240c36c

Observation 932b3a30-7f90-41b4-9d75-20fa38569043 · outbound

This paper cites Brezis, Functional analysis, Sobolev spaces and partial differenti al equations , Universitext, Springer, New York, 2011.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Brezis, Functional analysis, Sobolev spaces and partial differenti al equations , Universitext, Springer, New York, 2011

Reference 7

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raw_fallback, observed 2026-08-12T13:25:27.440501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.193498Z digest=sha256:5fda571078cf5423b15b771638fd348a9d51886cfa79585327604407f7085074

Observation 60a4f2b0-7ce3-491a-9392-73191436af20 · outbound

This paper cites Caffarelli, D.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Caffarelli, D

Reference 8

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raw_fallback, observed 2026-08-12T13:25:27.431111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.196220Z digest=sha256:cad3394e0fa0b66623b10376a86d69e247849baed81ef40b7acab9613e710cb1

Observation fec6a67d-2602-4508-8dd9-399421933e0a · outbound

This paper cites Colesanti, Brunn-Minkowski inequalities for variational funct ionals and related problems, Adv.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Colesanti, Brunn-Minkowski inequalities for variational funct ionals and related problems, Adv

Reference 9

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raw_fallback, observed 2026-08-12T13:25:27.422274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.198845Z digest=sha256:6c0e92ae2f803745612f8d6de83427a34ac9490c1cb1232a39182a06110abc75

Observation 2a34c2ba-2207-4995-93d0-33575f3368ad · outbound

This paper cites Colesanti and P.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Colesanti and P

Reference 10

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raw_fallback, observed 2026-08-12T13:25:27.414306Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.201645Z digest=sha256:630289aeff44bb5bfaef4afe6b298d8316aa0dab5c7dc604c0492afcf0fe9411

Observation 6d44d28f-8488-4db4-becd-21a3c1a2b3cb · outbound

This paper cites Colesanti, P.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Colesanti, P

Reference 11

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raw_fallback, observed 2026-08-12T13:25:27.405190Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.204455Z digest=sha256:0c3a17654d891e8615acd917470952246678544fc9d225b57675cc02c0cebea6

Observation 9c2277d5-03f5-491a-b9b6-d62333232442 · outbound

This paper cites The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:25:27.207030Z digest=sha256:85bba8c2b9d9cc0a882dedfe542501cb018d9b4062f13de8dd1e1cafc14ad1c9

Observation 42ae1189-a825-4f91-95b7-c8ae4f5fce56 · outbound

This paper cites Colesanti and P.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Colesanti and P

Reference 13

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raw_fallback, observed 2026-08-12T13:25:27.397428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.210501Z digest=sha256:c73070eab3ded6c5ac5bd3e1ebc6e38685bb0991a0aeda08ebf19b337ed3b24d

Observation 4c366a71-a14f-47b3-a3b4-abdbe5480043 · outbound

This paper cites an unresolved cited work.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Unresolved cited work

Reference 14

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raw_fallback, observed 2026-08-12T13:25:27.389649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.212981Z digest=sha256:46507f2f38a96c384ad9c5486b142d1d8afb4eb4214fa780cb166dd2005e869d

Observation 0db9e2f4-86f4-4553-8520-3cda36da27a3 · outbound

This paper cites Gilbarg and N.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Gilbarg and N

Reference 15

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raw_fallback, observed 2026-08-12T13:25:27.381341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.215811Z digest=sha256:a3ae10ae799386af85eb9d7cd66cdac6b05e14d451968adef9c05f385070be19

Observation 9b90cf60-62b1-4020-a37f-a98bb817b979 · outbound

This paper cites Kilpel¨ ainen, Weighted Sobolev spaces and capacity, Ann.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Kilpel¨ ainen, Weighted Sobolev spaces and capacity, Ann

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.218425Z digest=sha256:75fece578d3b1b37bc5a4cd0a2e78ad535cca029dba2a07b1c4fb5e2351a3563

Observation e206cd65-9f54-447c-8c12-d0072299fc5e · outbound

This paper cites Korevaar, Convex solutions to nonlinear elliptic and parabolic b oundary value problems, Indiana Univ.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Korevaar, Convex solutions to nonlinear elliptic and parabolic b oundary value problems, Indiana Univ

Reference 17

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.221073Z digest=sha256:aa494f118c62ac833923ecb8005e6e0e84c1af853831cea69a0714e457ec727d

Observation fe5b4862-0290-4382-96aa-fe4a260b395c · outbound

This paper cites an unresolved cited work.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Unresolved cited work

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.223841Z digest=sha256:3b29c84096ace6689ea0c724eca21d248a4493b05c76ae7c28ab9a9c752009d6

Observation 34aa271f-2478-45a7-851d-36320fff7e84 · outbound

This paper cites Osserman, The isoperimetric inequality, Bull.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Osserman, The isoperimetric inequality, Bull

Reference 19

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raw_fallback, observed 2026-08-12T13:25:27.347126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.226633Z digest=sha256:b43035386e7f995d932d323ee1cd9a31244f1684ac3ef09986a538950d0375b1

Observation 6ed54980-49ca-4b13-bf8b-84830b14a950 · outbound

This paper cites an unresolved cited work.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Unresolved cited work

Reference 20

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raw_fallback, observed 2026-08-12T13:25:27.338957Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.229307Z digest=sha256:59b508941755a6517614231dd2898b9ea1ddeaaad51b568b06a4a0eb3ff9d97f

Observation 41146bd6-c930-4cdb-a268-17924ac43e12 · outbound

This paper cites Riesz and B.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Riesz and B

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-12T13:25:27.330410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.232072Z digest=sha256:026281f04128affcd8faade8343071e7d482b5ea46c5788dc752ffa308810e3f

Observation abafaed5-bd98-40ea-92a6-7576257440ee · outbound

This paper cites an unresolved cited work.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Unresolved cited work

Reference 22

Resolution
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raw_fallback, observed 2026-08-12T13:25:27.320403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.234861Z digest=sha256:70dcdedf0b94cf4d62c9f505f3d321aa1c9f94fd12ed7c56b00c552736951ebb

Observation 5838569d-5e98-462f-a3f7-d39970ada783 · outbound

This paper cites Sakaguchi, Concavity properties of solutions to some degen erate quasilinear elliptic Dirichlet problems, Ann.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Sakaguchi, Concavity properties of solutions to some degen erate quasilinear elliptic Dirichlet problems, Ann

Reference 23

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raw_fallback, observed 2026-08-12T13:25:27.307348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.238649Z digest=sha256:3335abbab68280011c10a8576d37b7f4f77e65cc4382b4eaa6859c14c649ad09

Observation 88fc8e02-a47f-4ddb-8cba-1422f9b7c21e · outbound

This paper cites Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J

Reference 24

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raw_fallback, observed 2026-08-12T13:25:27.296813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.241292Z digest=sha256:128f0d95b0beff4361d2f375b7f517737ef8b944f3fc0fd8f98ffbc9e184be09

Observation 975e25ed-7f12-4277-b579-0876307c31b4 · outbound

This paper cites Tolksdorf, On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Tolksdorf, On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm

Reference 25

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raw_fallback, observed 2026-08-12T13:25:27.286378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.244025Z digest=sha256:0e47730883431850640bc319bef07ba3f2c3f577d3100939e84a437717ab417b

Observation bd791394-3ae5-42d4-9d0a-6930aca2ab4c · outbound

This paper cites an unresolved cited work.

log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator Unresolved cited work

Reference 26

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unresolved
raw_fallback, observed 2026-08-12T13:25:27.276333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:25:27.246588Z digest=sha256:1b5dd94aaba67d8df92f4ef4e1a896d35bdfde29b6331348633d60cf0e82a9bf

Pith citing papers

Observation 30b9fe1a-eb75-44e8-81e8-0b372d22a24b · inbound

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies cites this paper.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator

Reference 18

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verified exact
local_arxiv, observed 2026-08-06T21:19:18.101693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:19:17.632226Z digest=sha256:f5f4b46b6a30490e9368905edeba35fcc894ab58e5f1a6ec14281b9066e6d0ba