Rellich type identities for eigenvalue problems and application to the Pompeiu problem

DOI10.1016/j.jmaa.2006.07.099zbMath1135.35008OpenAlexW2010704038MaRDI QIDQ879040

Genqian Liu

Publication date: 4 May 2007

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.2006.07.099

zbMATH Keywords

Neumann eigenvaluebuckling eigenvalueclamped plate eigenvalueRellich's identitythe Pompeiu problemthe Schiffer conjecture

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) Plates (74K20) Bifurcation and buckling (74G60) Other special methods applied to PDEs (35A25)

Related Items (5)

Some inequalities and asymptotic formulas for eigenvalues on Riemannian manifolds ⋮ Some results related to Schiffer's problem ⋮ Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions ⋮ A note on Kuttler-Sigillito's inequalities ⋮ Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations

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