The classical overdetermined Serrin problem

DOI10.1080/17476933.2017.1410798zbMath1505.35276arXiv1711.10787OpenAlexW2963738906MaRDI QIDQ5745153

Cristina Trombetti, Carlo Nitsch

Publication date: 5 June 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10787

zbMATH Keywords

maximum principleoverdetermined problemsmoving planes\(p\)-functions

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inequalities for sums, series and integrals (26D15) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (10)

Symmetry results for overdetermined problems via \(L_p\) Brunn-Minkowski inequalities ⋮ Local analysis of a two phase free boundary problem concerning mean curvature ⋮ A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument ⋮ Overdetermined problems for p-Laplace and generalized Monge–Ampére equations ⋮ Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations ⋮ Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampère equations ⋮ Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type ⋮ On a two-phase Serrin-type problem and its numerical computation ⋮ A partially overdetermined problem in a half ball ⋮ Radial symmetry forp-harmonic functions in exterior and punctured domains

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