Sign-changing solution for an overdetermined elliptic problem on unbounded domain

DOI10.1515/crelle-2023-0059zbMath1526.35244arXiv2304.05550MaRDI QIDQ6060805

Publication date: 6 November 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.05550

zbMATH Keywords

Berenstein conjecture Crandall-Rabinowitz-type bifurcation theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Bifurcations in context of PDEs (35B32) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Cites Work

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Bifurcating extremal domains for the first eigenvalue of the Laplacian
Symmetry theorems for the overdetermined eigenvalue problems
The maximum principle
Serrin's overdetermined problem and constant mean curvature surfaces
Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems
Symmetry and related properties via the maximum principle
An inverse spectral theorem and its relation to the Pompeiu problem
An overdetermined Neumann problem in the unit disk
Classification of solutions of some nonlinear elliptic equations
A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
A partial solution of the Pompeiu problem
Radial symmetry for elliptic boundary-value problems on exterior domains
Elliptic partial differential equations of second order
Overdetermined elliptic problems in onduloid-type domains with general nonlinearities
Solutions to overdetermined elliptic problems in nontrivial exterior domains
New extremal domains for the first eigenvalue of the Laplacian in flat tori
Fredholm theory in Hilbert space -- a concise introductory exposition
Bifurcation from simple eigenvalues
A symmetry problem in potential theory
Practical and mathematical aspects of the problem of reconstructing objects from radiographs
Seminar on Differential Geometry. (AM-102)
Computerized Tomography: The New Medical X-Ray Technology
Symétrie radiale pour des problèmes elliptiques surdéterminés posés dans des domaines extérieurs
Bifurcation at Eigenvalues of Odd Multiplicity
A Rigidity Result for Overdetermined Elliptic Problems in the Plane

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