Symmetry and non-symmetry for the overdetermined Stekloff eigenvalue problem

DOI10.1007/BF00942845zbMath0801.35017MaRDI QIDQ1315363

Rolando Magnanini, Giovanni Alessandrini

Publication date: 29 November 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

conformal mappingsStekloff eigenvalue problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

On some second order and fourth order elliptic overdetermined problems ⋮ Unnamed Item ⋮ A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument ⋮ A duality theorem for an overdetermined eigenvalue problem ⋮ A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids ⋮ Pointwise and \(L_{2}\) bounds in some nonstandard problems for the heat equation ⋮ Sharp bounds for the first non-zero Stekloff eigenvalues

Cites Work

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• Application of half-order differentials on Riemann surfaces to quadrature identities for arc-length
• Some overdetermined boundary value problems for harmonic functions
• A symmetry problem in potential theory
• Duality theorems in some overdetermined boundary value problems