Some overdetermined boundary value problems for harmonic functions
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Publication:1186490
DOI10.1007/BF00944568zbMath0767.35047OpenAlexW2028950196MaRDI QIDQ1186490
Lawrence E. Payne, G. A. Philippin
Publication date: 28 June 1992
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00944568
General topics in linear spectral theory for PDEs (35P05) Overdetermined systems of PDEs with constant coefficients (35N05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Related Items (12)
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 ⋮ The isoperimetric inequality via approximation theory and free boundary problems ⋮ On gradient maximum principles for quasilinear elliptic equations ⋮ Kerr–Schild gravitational fields in matter and the Kerr-interior problem in general relativity ⋮ Characterization of balls in terms of Bessel-potential integral equation ⋮ Monotonicity formulas in potential theory ⋮ Sharp bounds for the first non-zero Stekloff eigenvalues ⋮ An overdetermined problem in Riesz-potential and fractional Laplacian ⋮ Symmetry and non-symmetry for the overdetermined Stekloff eigenvalue problem
Cites Work
- Unnamed Item
- Inequalities for membrane and Stekloff eigenvalues
- 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
- Virtual Mass and Polarization
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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