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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 20 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 2026-08-20T06:33:59.587034+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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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.173850Z digest=sha256:e72bfd2bd348e4a3f247f6e68a77a51794084d04c21ed174bd8afb00856be745

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.177452Z digest=sha256:35ebee56c7b35ebd056727355002b38c9c5117e3b8ae6a3a4c2578c777f34d24

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.180256Z digest=sha256:9352b5705d34ec8c380e9ed5648d9731ab0d68a66f6a1ece261e4be2af861296

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

Resolution
verified fuzzy
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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.183851Z digest=sha256:ca0cf44f62f44d32cc8f61b5079e90afc345abd6066221ca286ff8164aca6933

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.186825Z digest=sha256:b6c94fbb8d9b4c6234af936cbc86e41c35f146e1c54541b4bea2aed07699cb2a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.190407Z digest=sha256:69dc4309e6521011271d1a265b406e1d7e4744c1dfc47047bd51fbe5233ae9e4

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.193498Z digest=sha256:78ca2744c3b43e33d3740b09320b1d6abbc1c0139f462e388f60cb473e733036

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.196220Z digest=sha256:757f43d6dee41ae70de1e66f96e60fab73f1f7865212d9cb1449d536b651d19b

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

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.198845Z digest=sha256:dbbf2f08303f68fc47f1b2f2fc27c9274b726f60803367431ca6d383f9e2fe3e

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.201645Z digest=sha256:d056236f18c5000c47bb19c3b96264a1aa9c3ee2293c38e7183146a457fe52dd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.204455Z digest=sha256:21b1269cf2d91fdbda9afba90fb148d7d57d0fd799c3bb369aea7aa812907b3f

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=sha256:8b6e5d52f5bf3696de30232777af69a591003782dd95da9947bc4bb49147b62a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.210501Z digest=sha256:e7d80153fa370847404d6635d7d3a19512bc931e7a43fad54d4e84726b599335

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.212981Z digest=sha256:e1078b7117dc1fb8d5424cc66e94f304dbb4e237c186a2f1de34d8132d77ce1d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.215811Z digest=sha256:4da2af16f47b0e52b0cbbd0c8ce201b1bde18ecfbad80bb4ac1ba140a7a79401

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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raw_fallback, observed 2026-08-12T13:25:27.373388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.218425Z digest=sha256:0a37a90a854d588b5ab5ff470b7860196abc46b71abff18c79493d7160b353a2

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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raw_fallback, observed 2026-08-12T13:25:27.364959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.221073Z digest=sha256:3e191b456493a879850ea600a194f54a58e25d51a7d10a155ecd2dd4308668ea

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

Resolution
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raw_fallback, observed 2026-08-12T13:25:27.355721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.223841Z digest=sha256:90fecbeed117aa0bcfb0c1e85aa16be05b911a4467bc075b6c23f7491f6b68bc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.226633Z digest=sha256:9b880e3aff1194f116fe81f0465eb0960f6f28fa789615f993210b4218523f54

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.229307Z digest=sha256:85de42e3ef86353b18065795180c39c49ba21308ecbb2b05e8fd621839567795

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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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.232072Z digest=sha256:1a1d425435d1b6116d2c7d0c76d37f752747b4b9a992e75cad1cca17b978c74a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.234861Z digest=sha256:d6a10a633ad75318b179de2de660b0809c4c9f65f47b5d84436bedd79ae8676b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.238649Z digest=sha256:0d00b7e071e0fff24832667778eb868be3295412f1d2512f5c3b726026f6b5bc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.241292Z digest=sha256:536e39d64ed2c08db9b67d2b8ce5fdbab52a589514e368afa52ba8a2facc2242

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.244025Z digest=sha256:88f02e54535ee5b17b719de4c578b6c0df8c421cd53b36b7a89c8e902a2f365c

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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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:25:27.246588Z digest=sha256:117559bd8484adea5919391a08584a7ca155a278df69bc1296bf471c922a6994

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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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:19:17.632226Z digest=sha256:e12f73cfd5c4a6bcdecbdce56f99d1868e7af35045765fd3ca6176c20c693fcc