An overdetermined problem in potential theory

DOI10.2140/pjm.2013.265.85zbMath1279.31003arXiv1205.5165OpenAlexW3100228284MaRDI QIDQ374429

Razvan Teodorescu, Erik Lundberg, Dmitry Khavinson

Publication date: 23 October 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5165

zbMATH Keywords

inverse problemconformal mappingharmonic functionoverdetermined problem

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Boundary value problems in the complex plane (30E25) Free boundary problems for PDEs (35R35) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (11)

Dima Khavinson's 60th: a summary of open problems in analysis and mathematical physics ⋮ Nontrivial solutions to Serrin's problem in annular domains ⋮ Hollow vortices and minimal surfaces ⋮ Graphical solutions to one-phase free boundary problems ⋮ A note on arclength null quadrature domains ⋮ On an Electrostatic Problem and a New Class of Exceptional Subdomains of \(\mathbb{R}^3\) ⋮ A short survey on overdetermined elliptic problems in unbounded domains ⋮ Geometry and topology of some overdetermined elliptic problems ⋮ Classification of the solutions to an overdetermined elliptic problem in the plane ⋮ Capillary surfaces arising in singular perturbation problems ⋮ Inhomogeneous global minimizers to the one-phase free boundary problem

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