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Modica type estimates and curvature results for overdetermined $p$-Laplace problems

As of 20 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2506.14579.

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pith.paper-citation-record.v1
2506.14579 v1

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measured 48 of 48 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T20:05:11.484973Z

measured 48 of 48 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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Outbound references

Observation dcf9d621-0fdb-494d-8053-13b8b1cbf986 · outbound

This paper cites Monotonicity for elliptic equations in unbounded Lipschitz domains.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Monotonicity for elliptic equations in unbounded Lipschitz domains

Reference 1

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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=2026-08-15T20:05:11.276923Z digest=sha256:29e7b75de5dd23b987358818579de4fde805c3318432fcb4262b1452c515eabe

Observation d14079c8-1649-49c5-9456-93d2bda6d6ed · outbound

This paper cites A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative

Reference 2

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Observation f75c6f24-896d-4802-960d-bb59cce3aee7 · outbound

This paper cites A gradient bound for entire solu- tions of quasi-linear equations and its consequences.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A gradient bound for entire solu- tions of quasi-linear equations and its consequences

Reference 3

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Observation f6191c8e-385e-430f-8d25-44ed4aa0891a · outbound

This paper cites an unresolved cited work.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Unresolved cited work

Reference 4

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Observation 42b158b8-9d1b-4ebc-bd44-e297a38ee9bd · outbound

This paper cites The soap bubble-theorem and a p-Laplacian overdetermined problem.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems The soap bubble-theorem and a p-Laplacian overdetermined problem

Reference 5

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

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Observation 863ccdce-e746-4b70-bd6c-00d2325de38b · outbound

This paper cites A symmetry result for the p-Laplacian equation via the mov- ing planes method.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A symmetry result for the p-Laplacian equation via the mov- ing planes method

Reference 6

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

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Observation 148fc74e-c6f1-4324-bd7e-e39448dade7a · outbound

This paper cites Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space

Reference 7

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Observation c6ace1e9-021d-4ac2-bb66-8438e9f7e0ec · outbound

This paper cites Sign-changing solution for an overdetermined ellip- tic problem on unbounded domain.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Sign-changing solution for an overdetermined ellip- tic problem on unbounded domain

Reference 8

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Observation 9c81a533-d689-48da-8d02-5c1ad6e7f250 · outbound

This paper cites Comparison theorems for some quasilinear degenerate el- liptic operators and applications to symmetry and monotonicity results.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Comparison theorems for some quasilinear degenerate el- liptic operators and applications to symmetry and monotonicity results

Reference 9

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

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Observation 13b10ae6-91e1-4019-a502-395f5ce7fe83 · outbound

This paper cites Monotonicity and symmetry of solutions of p-Laplace equations, 1 < p < 2, via the moving plane method.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Monotonicity and symmetry of solutions of p-Laplace equations, 1 < p < 2, via the moving plane method

Reference 10

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

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Observation 556ff4d1-e861-46a1-8d36-4b87e1312264 · outbound

This paper cites Monotonicity and symmetry results for p- Laplace equations and applications.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Monotonicity and symmetry results for p- Laplace equations and applications

Reference 11

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Observation 299d9af7-c6f5-4ef5-bc32-2aeafc105773 · outbound

This paper cites Serrin’s overdetermined problem and constant mean curvature surfaces.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Serrin’s overdetermined problem and constant mean curvature surfaces

Reference 12

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Source-reported events for the cited work

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Observation 9e6fc7cc-842c-44e3-b14a-f0c7c0bb467b · outbound

This paper cites C1+α local regularity of weak solutions of degenerate el- liptic equations.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems C1+α local regularity of weak solutions of degenerate el- liptic equations

Reference 13

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Observation b7959724-9f20-43bf-949b-627524eab2a1 · outbound

This paper cites Remarks on an overdetermined boundary value problem.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Remarks on an overdetermined boundary value problem

Reference 14

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

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Observation f14cc334-eceb-461b-9c10-ebebcbb58a9e · outbound

This paper cites Splitting theorems on complete Riemannian man- ifolds with nonnegative Ricci curvature.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Splitting theorems on complete Riemannian man- ifolds with nonnegative Ricci curvature

Reference 15

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

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Observation 94a75bec-9af9-4ee8-bbea-86b8db27577f · outbound

This paper cites A pointwise gradient estimate in possibly un- bounded domains with nonnegative mean curvature.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A pointwise gradient estimate in possibly un- bounded domains with nonnegative mean curvature

Reference 16

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

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Observation 4473c727-18aa-4bc5-bf62-c34354e28e9d · outbound

This paper cites Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems

Reference 17

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

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Observation 96232280-ed0c-4872-bca6-f3cf5cdeb694 · outbound

This paper cites A pointwise gradient bound for elliptic equa- tions on compact manifolds with nonnegative Ricci curvature.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A pointwise gradient bound for elliptic equa- tions on compact manifolds with nonnegative Ricci curvature

Reference 18

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

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Observation 451657e3-3943-4ef4-a21b-c8cc730c24df · outbound

This paper cites A symmetry result related to some overdeter- mined boundary value problems.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A symmetry result related to some overdeter- mined boundary value problems

Reference 19

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

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Observation 0f63ec3e-e637-4f69-819e-cdbecc99cc2a · outbound

This paper cites Constrained radial symmetry for monotone elliptic quasilinear operators.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Constrained radial symmetry for monotone elliptic quasilinear operators

Reference 20

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Observation 55d03352-7dae-4fd5-9895-bf19706153ae · outbound

This paper cites Comparison principle and constrained radial symmetry for the subdiffusivep-Laplacian.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Comparison principle and constrained radial symmetry for the subdiffusivep-Laplacian

Reference 21

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Observation 7932113c-5a61-4df0-903a-7fbc363ee000 · outbound

This paper cites Improvements on overdetermined problems asso- ciated to thep-Laplacian.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Improvements on overdetermined problems asso- ciated to thep-Laplacian

Reference 22

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Observation 7564f7ee-c65a-4a1d-9d27-04e294a0f1d6 · outbound

This paper cites Structure of one-phase free boundaries in the plane.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Structure of one-phase free boundaries in the plane

Reference 23

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Observation f9570d05-3db1-4c86-81de-0c63565fcb5e · outbound

This paper cites Regularity of the derivatives of solutions to certain degenerate elliptic equations.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Regularity of the derivatives of solutions to certain degenerate elliptic equations

Reference 24

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Observation 50268bb3-91b3-4cf6-9d00-82389a413bd0 · outbound

This paper cites Lian and P.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Lian and P

Reference 25

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Observation f897db29-8b34-4f93-a294-03168ef6442c · outbound

This paper cites On the stability for Alexandrov’s soap bub- ble theorem.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems On the stability for Alexandrov’s soap bub- ble theorem

Reference 26

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

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Observation ceb1cc33-03f5-4a4e-81b5-1f41839dbdfa · outbound

This paper cites Rigidity results for the capillary overdetermined problem.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Rigidity results for the capillary overdetermined problem

Reference 27

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:05:11.395461Z digest=sha256:fadf2e3653fcab140906358a19820e99e6aa477600a0e07c382ef481c3a65ca3

Observation e1b54b33-474c-42f0-be47-f29b8f0fed8c · outbound

This paper cites Gradient bounds for Liouville’s type theorems for the Poisson equation on complete Riemannian manifolds.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Gradient bounds for Liouville’s type theorems for the Poisson equation on complete Riemannian manifolds

Reference 28

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

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Observation c25ef679-f0f8-49dc-96fe-991189e4904f · outbound

This paper cites A gradient bound and a Liouville theorem for nonlinear Poisson equations.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A gradient bound and a Liouville theorem for nonlinear Poisson equations

Reference 29

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

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Observation 5c8a340e-157e-4670-8e23-21b27de763b0 · outbound

This paper cites Mean curvature, the Laplacian, and soap bubbles.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Mean curvature, the Laplacian, and soap bubbles

Reference 30

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verified fuzzy
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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.

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Observation d46f91aa-aae4-4db4-95af-783e2df4bf6e · outbound

This paper cites Radial symmetry for elliptic boundary-value problems on ex- terior domains.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Radial symmetry for elliptic boundary-value problems on ex- terior domains

Reference 31

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

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Observation 3f3efd00-4101-471f-8bb6-d695bf192826 · outbound

This paper cites Solutions to overdetermined elliptic prob- lems in nontrivial exterior domains.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Solutions to overdetermined elliptic prob- lems in nontrivial exterior domains

Reference 32

Resolution
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raw_fallback, observed 2026-08-15T20:05:11.776332Z

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=2026-08-15T20:05:11.426733Z digest=sha256:bb69fb457ff9e16d824a97fddc0ced2270d38bfb81f5eb85e52d8b4bc360e0a7

Observation 2ef559d7-3693-49fe-a9fc-e547238173f3 · outbound

This paper cites A rigidity result for overdetermined elliptic problems in the plane.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A rigidity result for overdetermined elliptic problems in the plane

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:05:11.791457Z

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=2026-08-15T20:05:11.422475Z digest=sha256:d56a2edd3cbb5e32a294a288fe39fb72d12c9b542c6440edc60ce47a60d4d746

Observation 2d01ba97-96b3-4094-97c8-0dc9908d5a22 · outbound

This paper cites The p-Laplacian overdetermined problem on Riemannian manifolds.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems The p-Laplacian overdetermined problem on Riemannian manifolds

Reference 34

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raw_fallback, observed 2026-08-15T20:05:11.747574Z

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Observation 425557cf-f233-422b-84be-4e6f1c8fda16 · outbound

This paper cites Geometry and topology of some overdetermined elliptic problems.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Geometry and topology of some overdetermined elliptic problems

Reference 35

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Observation 9906e815-d1cd-4076-8b35-9b3a185b32fe · outbound

This paper cites Modica-type estimates and curvature results for overdetermined elliptic problems.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Modica-type estimates and curvature results for overdetermined elliptic problems

Reference 36

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Observation f1c5bab6-23b5-46c3-bce7-ed55c6dbe8d2 · outbound

This paper cites Overdetermined elliptic problems in onduloid- type domains with general nonlinearities.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Overdetermined elliptic problems in onduloid- type domains with general nonlinearities

Reference 37

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Observation 53fef8d1-e7e0-459c-b5be-8810ec427f73 · outbound

This paper cites Local behavior of solutions of quasi-linear equations.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Local behavior of solutions of quasi-linear equations

Reference 38

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Observation 00e52bcf-3030-49ff-9ef8-e302dc004725 · outbound

This paper cites Bifurcating extremal domains for the first eigen- value of the Laplacian.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Bifurcating extremal domains for the first eigen- value of the Laplacian

Reference 39

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Observation 4402b793-23a9-4c97-9c42-1c285ef7c9d9 · outbound

This paper cites New extremal domains for the first eigenvalue of the Laplacian in flat tori.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems New extremal domains for the first eigenvalue of the Laplacian in flat tori

Reference 40

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This paper cites A symmetry problem in potential theory.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems A symmetry problem in potential theory

Reference 41

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Observation f9c696e7-3e2b-4c55-ab8e-fa6113e8e0b2 · outbound

This paper cites an unresolved cited work.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Unresolved cited work

Reference 42

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Observation ba9b7148-0a32-4333-a493-64a7c2cee0e0 · outbound

This paper cites Overdetermined Elliptic Problems in Physics.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Overdetermined Elliptic Problems in Physics

Reference 43

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Observation 030781ab-153f-4292-b3f8-d98238d06f68 · outbound

This paper cites Symmetry and regularity for general regions having a solution to certain overdetermined boundary value problems.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Symmetry and regularity for general regions having a solution to certain overdetermined boundary value problems

Reference 44

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Observation e8b2f7da-2425-4c69-a84a-0373910b327c · outbound

This paper cites Regularity for a more general class of quasilinear elliptic equa- tions.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Regularity for a more general class of quasilinear elliptic equa- tions

Reference 45

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Observation e9a0deb1-51dc-49c6-ba16-5ec102cc6a91 · outbound

This paper cites Remark on the preceding paper of Serrin.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Remark on the preceding paper of Serrin

Reference 46

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This paper cites On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg

Reference 47

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Observation 52a312e3-fa7c-456f-92f7-dce97718ef61 · outbound

This paper cites Symmetry in Serrin-type overdetermined problems.

Modica type estimates and curvature results for overdetermined $p$-Laplace problems Symmetry in Serrin-type overdetermined problems

Reference 2025

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