On the radial symmetry property for harmonic functions

DOI10.3103/S1066369X20100023zbMath1469.31002OpenAlexW3104180725MaRDI QIDQ2027816

Vitalii Vladimirovich Volchkov, Valery Vladimirovich Volchkov

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20100023

zbMATH Keywords

boundary behaviorharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Cites Work

• On the problem of mean periodic continuation
• On two free boundary problems in potential theory
• Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains
• A symmetry problem in potential theory
• On a free boundary problem in electrostatics
• Harmonic Analysis and the Pompeiu Problem
• Electrostatic characterization of spheres
• Rectilinear steady flow of simple fluids
• Symmetry for exterior elliptic problems and two conjectures in potential theory
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