Symmetry theorems for some overdetermined boundary value problems on ring domains

DOI10.1007/BF00991897zbMath0807.35099MaRDI QIDQ1338716

N. B. Willms, Graham M. L. Gladwell, David Siegel

Publication date: 20 November 1994

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

zbMATH Keywords

doubly connected domainsStekloff eigenvalue problemdomains with multiple holesSerrin's reflection methodSt Venant problem

Mathematics Subject Classification ID

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

Related Items (16)

Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain ⋮ On some second order and fourth order elliptic overdetermined problems ⋮ Unnamed Item ⋮ A duality theorem for an overdetermined eigenvalue problem ⋮ Nontrivial solutions to Serrin's problem in annular domains ⋮ Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains ⋮ Overdetermined problems in annular domains with a spherical-boundary component in space forms ⋮ Symmetry results for Serrin-type problems in doubly connected domains ⋮ Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems ⋮ An overdetermined problem for harmonic functions ⋮ Over-determined problems for \(k\)-Hessian equations in ring-shaped domains ⋮ On an overdetermined elliptic problem with a nonstandard boundary condition ⋮ Symmetry for a general class of overdetermined elliptic problems ⋮ Symmetry for exterior elliptic problems and two conjectures in potential theory ⋮ Symmetry for an overdetermined boundary problem in a punctured domain ⋮ Overdeterminded boundary value problems, quadrature domains and applications

Cites Work

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• Some overdetermined boundary value problems for harmonic functions
• On two free boundary problems in potential theory
• An effectless cutting of a vibrating membrane
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• Duality theorems in some overdetermined boundary value problems
• Symmetry in an Overdetermined Fourth Order Elliptic Boundary Value Problem
• A symmetry theorem for condensers

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