A free boundary problem associated with the isoperimetric inequality

DOI10.1007/s11854-022-0074-1zbMath1446.30055arXiv1601.03885OpenAlexW2982908055MaRDI QIDQ2299605

Razvan Teodorescu, Artem Abanov, Catherine Bénéteau, Dmitry Khavinson

Publication date: 21 February 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03885

zbMATH Keywords

conformal field theoryfree boundary problemisoperimetric inequalityquadratic differentialSchwarz functionanalytic contentSerrin problemquadrature identityelectrically charged dropletfinitely connected planar domainsincompressible vortex flowNewton fluid flowoverdetermined Neumann problem for Poisson equationRiccati equation, Schwarzian derivative

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Approximation in the complex plane (30E10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Complex variables methods applied to problems in fluid mechanics (76M40)

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