A symmetry theorem for condensers

DOI10.1002/mma.1670150503zbMath0756.35118OpenAlexW2169308610MaRDI QIDQ4013378

Giovanni Alessandrini

Publication date: 27 September 1992

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670150503

zbMATH Keywords

inverse boundary value problemsfree boundary elliptic problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (22)

Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain ⋮ Symmetry theorems for some overdetermined boundary value problems on ring domains ⋮ On some second order and fourth order elliptic overdetermined problems ⋮ Unnamed Item ⋮ A duality theorem for an overdetermined eigenvalue problem ⋮ Variational formula and overdetermined problem for the principal eigenvalue of \(k\)-Hessian operator ⋮ 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 ⋮ Symmetry results for overdetermined problems on convex domains via Brunn-Minkowski inequalities ⋮ An overdetermined problem for a weighted Poisson's equation ⋮ Partially overdetermined elliptic boundary value problems ⋮ Over-determined problems for \(k\)-Hessian equations in ring-shaped domains ⋮ On an overdetermined elliptic problem with a nonstandard boundary condition ⋮ On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain ⋮ Overdetermined problems for the fractional Laplacian in exterior and annular sets ⋮ Symmetry for exterior elliptic problems and two conjectures in potential theory ⋮ Hyperbolic solutions to Bernoulli's free boundary problem ⋮ A local symmetry result for linear elliptic problems with solutions changing sign ⋮ On overdetermined problems for a general class of nonlocal operators ⋮ Symmetry for an overdetermined boundary problem in a punctured domain ⋮ Overdeterminded boundary value problems, quadrature domains and applications

Cites Work

• Elliptic Partial Differential Equations of Second Order

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