Symmetry theorems for the overdetermined eigenvalue problems

DOI10.1016/j.jde.2006.08.020zbMath1129.35051OpenAlexW2030026586MaRDI QIDQ868840

Genqian Liu

Publication date: 26 February 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.08.020

zbMATH Keywords

Dirichlet eigenvaluePompeiu problemNeumann eigenvalueSchiffer's conjectureBerenstein's conjecture

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Overdetermined systems of PDEs with constant coefficients (35N05)

Related Items (6)

Heat flow, heat content and the isoparametric property ⋮ Rellich type identities for eigenvalue problems and application to the Pompeiu problem ⋮ Sign-changing solution for an overdetermined elliptic problem on unbounded domain ⋮ Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations ⋮ Geometric rigidity of constant heat flow ⋮ An overdetermined problem in Riesz-potential and fractional Laplacian

Cites Work

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