Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy | Paper Citation Record

Observation a1067282-b1e5-46e0-832a-5c625aaee0b8 · outbound

This paper cites Allegretto and Y.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Allegretto and Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.978576Z

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Observation 3e04c3f5-5004-4547-b2c6-221ef0b98f58 · outbound

This paper cites Amann, Lusternik–Schnirelman theory and non-linear eigenvalue problems,Math.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Amann, Lusternik–Schnirelman theory and non-linear eigenvalue problems,Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.967538Z

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Observation 3ad9fc2a-84ba-49d3-8a66-bf01b6325d3b · outbound

This paper cites The geometric size of the fundamental gap.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy The geometric size of the fundamental gap

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T11:01:17.788869Z

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Unavailable: canonical work link unavailable.

Observation 57520f90-f21d-4d38-a401-deab115e270e · outbound

This paper cites Andrews and J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Andrews and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.955740Z

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Observation 814a1dbe-e4b5-4d18-91d5-653b7d1c5ff2 · outbound

This paper cites Andrews, J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Andrews, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.942786Z

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Observation fa9ff064-bfcd-4f6b-857c-f3d47fed9bec · outbound

This paper cites Andrews and L.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Andrews and L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.929252Z

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Observation df1da09e-db0f-4025-9291-c33a1bc2d911 · outbound

This paper cites Sharp remainder of the $L^{p}$-Poincar\'e inequality for Baouendi-Grushin vector fields.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Sharp remainder of the $L^{p}$-Poincar\'e inequality for Baouendi-Grushin vector fields

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:01:18.200375Z

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Observation 75bc458c-cb8f-4ea2-9ae9-d81e024d4478 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.916978Z

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

Observation f7cdd6e3-8619-49d1-a90f-36d2aa7c79d9 · outbound

This paper cites Audoux, V.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Audoux, V

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.903194Z

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Observation e4f2c055-22ca-4a31-98fb-46b404fd45aa · outbound

This paper cites Borisov and P.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Borisov and P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.891974Z

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Observation 5b50e2d2-af19-475a-8d98-36b7dd5270ec · outbound

This paper cites Bourni, J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Bourni, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.881428Z

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Observation 02e280a3-576c-4749-8023-9876f616ee40 · outbound

This paper cites Bourni, J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Bourni, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.870998Z

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

Observation 933a7cc6-25b8-4450-b42a-0f152a21cd6d · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.860066Z

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Observation 68e313a9-10e9-41a9-b7cd-18e7dbcfb94f · outbound

This paper cites Brasco, On principal frequencies and inradius in convex sets,Bruno Pini Math.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Brasco, On principal frequencies and inradius in convex sets,Bruno Pini Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.848777Z

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

Observation 9be241c6-fbe1-4ebc-b84f-cbac807b7a93 · outbound

This paper cites Brasco and G.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Brasco and G

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.836940Z

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

Observation 37a0dfeb-d4f2-4e4f-940e-19e5b3d026dd · outbound

This paper cites Brasco and E.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Brasco and E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.825946Z

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.

Observation 08cd4f13-73b6-483a-b39d-6051e8cdf91b · outbound

This paper cites Briani, G.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Briani, G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.814403Z

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

Observation a3a91c26-30df-4104-8045-3384de00d47b · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.800541Z

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Observation 04aba09a-7abd-492e-8a4c-5bbfd8ad5cd3 · outbound

This paper cites Cheng, W.-C.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Cheng, W.-C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.788119Z

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.

Observation 62090c10-3907-49d9-9efc-ef815f8c7f58 · outbound

This paper cites Clutterbuck, F.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Clutterbuck, F

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:01:17.861122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95ea43c1-c79f-43c3-91d2-e4d02a8d2912 · outbound

This paper cites Cuesta, D.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Cuesta, D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.775963Z

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

Observation 1edf6a0e-e2e8-41fe-bb1f-ada4b1bcbf5f · outbound

This paper cites Cuesta and H.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Cuesta and H

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.763662Z

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

Observation 734b78bb-c236-47bb-bfd5-80198e027c3f · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.751428Z

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Observation 93e9cdb1-d6bb-4c96-9158-271a0cc302c7 · outbound

This paper cites Degiovanni and M.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Degiovanni and M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.741141Z

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

Observation dfc1590b-e2df-4854-bfad-fae80d3868fb · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.730049Z

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.

Observation c2bda3dd-7050-484e-951e-36586a0dfb85 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.718786Z

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.

Observation 2d7bf196-92a6-43bc-b97f-46d223ad3cdb · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.706211Z

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.

Observation 5e7f9dc2-f77f-4645-9a4a-7e3a6ceead26 · outbound

This paper cites Esposito, A.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Esposito, A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.694412Z

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.

Observation 77be8d29-1c09-4765-a8a7-3a2b9d99c410 · outbound

This paper cites Ferone, C.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Ferone, C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.682340Z

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.

Observation ce9f9c29-9be1-46df-9b5d-f9ef34e06dcc · outbound

This paper cites Friedlander and M.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Friedlander and M

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.671290Z

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.

Observation 6186cbda-ebf0-44a8-b93f-78f30126a868 · outbound

This paper cites Fusco, S.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Fusco, S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.659833Z

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.

Observation dd59af5f-a59a-4939-9001-b68d3c6ec59a · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.648936Z

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.

Observation 7eb32832-1d12-4256-9fd9-b08747582c29 · outbound

This paper cites Gilbarg and N.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Gilbarg and N

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.637858Z

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.

Observation cbbde479-9e02-48dc-9e69-0b73b3374bb8 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.626679Z

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.

Observation b312b2ee-7258-44fa-9866-1a1fe6532718 · outbound

This paper cites Julin and P.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Julin and P

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.616098Z

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.

Observation 15a4485a-579b-4e1d-b33e-23d0f3d056ea · outbound

This paper cites Khan and X.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Khan and X

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.605697Z

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.

Observation 3f18ab8f-e2dc-434b-936a-8f27a62e02c8 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.594860Z

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.

Observation cb519826-a9bb-4098-b57a-edad68181923 · outbound

This paper cites Khan and M.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Khan and M

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.583274Z

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.

Observation 4094bf95-9b58-44b3-a2c3-457e30ea0fde · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.570584Z

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.

Observation b052a567-1dab-4601-8973-1734e0afaca1 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.558349Z

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.

Observation df6b9d88-c159-49b1-9bf0-17eabe67441e · outbound

This paper cites Lang and D.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Lang and D

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.546761Z

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.

Observation 6a684734-f1e3-40df-a32b-cac0e4540fbd · outbound

This paper cites Lavine, The eigenvalue gap for one-dimensional convex potentials,Proc.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Lavine, The eigenvalue gap for one-dimensional convex potentials,Proc

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.534916Z

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.

Observation 8658a1e1-2a90-4168-a263-060b0491ac57 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.523286Z

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.

Observation ab7e956c-10b5-4bae-ae84-a3424dd656ff · outbound

This paper cites Lindqvist, Some remarkable sine and cosine functions,Ricerche Mat.44(1995), no.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Lindqvist, Some remarkable sine and cosine functions,Ricerche Mat.44(1995), no

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.512012Z

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.

Observation cc40e0e2-c274-4a1c-93ff-11b7b14c6bb8 · outbound

This paper cites Ling, A lower bound for the gap between the first two eigenvalues of Schrödinger operators on convex domains inSn orR n,Michigan Math.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Ling, A lower bound for the gap between the first two eigenvalues of Schrödinger operators on convex domains inSn orR n,Michigan Math

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.499761Z

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.

Observation 4ee604f7-4c38-4438-b92a-05b5a7d75c04 · outbound

This paper cites Lu and J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Lu and J

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.487478Z

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.

Observation 7ab74a9e-a0b2-446f-a071-3be2b73cde8d · outbound

This paper cites Lu and J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Lu and J

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.475189Z

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.

Observation 3e0fa4ed-4a6f-44b1-87fe-3b1aed56355e · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.464286Z

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.

Observation fdff6f85-5548-4d32-8dca-4866fc597631 · outbound

This paper cites Ni, Estimates on the modulus of expansion for vector fields solving nonlinear equations, J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Ni, Estimates on the modulus of expansion for vector fields solving nonlinear equations, J

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.452966Z

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.

Observation 45ffc13d-d4f9-4e2a-8a5e-0f86d98aaab6 · outbound

This paper cites Oden, C.-J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Oden, C.-J

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.440914Z

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.

Observation 45c3aab6-3e6a-4a91-a35a-728d5a826f6c · outbound

This paper cites Otani and T.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Otani and T

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.428823Z

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.

Observation 6b5dd21e-ef70-4dfb-81b0-eb83f8ce7ab8 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.416770Z

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.

Observation a11f1b6e-342e-448f-a616-3807f8bfdd4f · outbound

This paper cites Pucci and J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Pucci and J

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.400197Z

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.

Observation ef777667-f96f-4125-a2e1-557e07e351fe · outbound

This paper cites Sakaguchi, Concavity properties of solutions to some degenerate quasilinear elliptic Dirich- let problems,Ann.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Sakaguchi, Concavity properties of solutions to some degenerate quasilinear elliptic Dirich- let problems,Ann

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.388208Z

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.

Observation 4db36a5f-7d37-417d-aef0-f63a64305a03 · outbound

This paper cites Schneider,Convex Bodies: The Brunn–Minkowski Theory, 2nd expanded ed., Encyclope- dia of Mathematics and its Applications, vol.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Schneider,Convex Bodies: The Brunn–Minkowski Theory, 2nd expanded ed., Encyclope- dia of Mathematics and its Applications, vol

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.375458Z

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.

Observation 327d5604-5573-443d-9bd9-46c63fa89957 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.362959Z

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.

Observation 32641572-2f7d-4156-8402-74ed26dbf092 · outbound

This paper cites Shih, A counterexample to the convexity property of the first eigenfunction on a convex domain of negative curvature,Comm.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Shih, A counterexample to the convexity property of the first eigenfunction on a convex domain of negative curvature,Comm

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.350078Z

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.

Observation 694321d3-70ea-4b77-9b2d-cf43558611e5 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.336141Z

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.

Observation 618210df-7712-4efd-ae07-2dd819a2eef6 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.323825Z

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.

Observation a7da61f3-ed15-4782-8784-55998a9650e1 · outbound

This paper cites Szulkin, Ljusternik–Schnirelmann theory onC1-manifolds,Ann.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Szulkin, Ljusternik–Schnirelmann theory onC1-manifolds,Ann

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.310354Z

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.

Observation 3e672328-bb24-42f2-87f1-7edee99c8ded · outbound

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

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Tolksdorf, Regularity for a more general class of quasilinear elliptic equations,J

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.290643Z

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.

Observation d2c974ae-2d64-4a4d-8c56-a7564f02c3ba · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.274517Z

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.

Observation 5391b237-8e67-4d9c-9a12-04254ed29951 · outbound

This paper cites van den Berg, On condensation in the free-boson gas and the spectrum of the Laplacian, J.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy van den Berg, On condensation in the free-boson gas and the spectrum of the Laplacian, J

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.260198Z

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.

Observation a82c82c5-aae7-4f63-af15-9c458d266133 · outbound

This paper cites Walter, Sturm–Liouville theory for the radial∆p-operator,Math.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Walter, Sturm–Liouville theory for the radial∆p-operator,Math

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:01:18.247528Z

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.

Observation 7f8a3f39-0052-43d4-908c-f5ef689ac073 · outbound

This paper cites Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps

Reference 65

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:01:18.087058Z

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.

Observation 9c73fafb-22e6-4aa2-99e8-5af3fc84a889 · outbound

This paper cites an unresolved cited work.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:01:18.233740Z

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.

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Pith citing papers