A note on an overdetermined system involving mean curvature

DOI10.1016/j.jmaa.2012.04.029zbMath1308.35150OpenAlexW2013811340MaRDI QIDQ432405

Lizhou Wang, Ting-Ting Wang

Publication date: 4 July 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.029

zbMATH Keywords

maximum principleoverdetermined problemSerrin's theorem

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)

Related Items (3)

Exact number of solutions of a one-dimensional prescribed mean curvature equation with concave-convex nonlinearities ⋮ An overdetermined problem for a weighted Poisson's equation ⋮ Existence and uniqueness of periodic solution for prescribed mean curvature Rayleigh type \(p\)-Laplacian equation

Cites Work

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• An overdetermined problem for harmonic functions
• Partially overdetermined elliptic boundary value problems
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• Serrin-type overdetermined problems: An alternative proof
• On nonstandard overdetermined boundary value problems.
• Remarks on an overdetermined boundary value problem
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundaries

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