The isoperimetric inequality via approximation theory and free boundary problems
type: Item
instance of: scholarly article
title: The isoperimetric inequality via approximation theory and free boundary problems
zbMATH Open document ID: 1193.30001
DOI: 10.1007/BF03321614
author: Catherine Bénéteau
author: Dmitry Khavinson
published in: Computational Methods and Function Theory
publication date: 2007-05-14T00:00:00Z
Mathematics Subject Classification ID: 30-02
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 30H05
Mathematics Subject Classification ID: 76M40
zbMATH DE Number: 5152618
zbMATH Keywords: analytic content
zbMATH Keywords: free boundary problems
zbMATH Keywords: hydrodynamics
zbMATH Keywords: isoperimetric inequality
zbMATH Keywords: quadrature domains
zbMATH Keywords: rational approximation
MaRDI profile type: Publication
cites work: Confromal invariants and function-theoretic null-sets
cites work: Domains on which analytic functions satisfy quadrature identities
cites work: Projections of polynomial hulls
cites work: Q3876353
cites work: The Isoperimetric Problem
cites work: Quadrature Domains and Fluid Dynamics
cites work: Models of void electromigration
cites work: Q5618011
cites work: Q4458791
cites work: Q5615632
cites work: The Isoperimetric Inequality and Rational Approximation
cites work: Q5574105
cites work: Approximation by harmonic functions in the \(C^m\)-norm and harmonic \(C^m\)-capacity of compact sets in \(\mathbb{R}^n\)
cites work: Q4297854
cites work: Q5703494
cites work: Über Potentiale, welche auf vorgegebenen Mengen verschwinden
cites work: Q4248218
cites work: Sur la représentation conforme des domaines limites par des courbes rectifiables
cites work: Annihilating measures of the algebra R(X)
cites work: Symmetry and Uniform Approximation by Analytic Functions
cites work: On uniform approximation by harmonic functions
cites work: Overdeterminded boundary value problems, quadrature domains and applications
cites work: A converse of the mean value theorem for harmonic functions
cites work: Q3230021
cites work: Some remarks on overdetermined systems in linear elasticity
cites work: Some overdetermined boundary value problems for harmonic functions
cites work: On two free boundary problems in potential theory
cites work: Isoperimetric Inequalities in the Torsion and Clamped Membrane Problems for Convex Plane Domains
cites work: Some nonstandard problems for the Poisson equation
cites work: On some second order and fourth order elliptic overdetermined problems
cites work: Approximation by harmonic functions
cites work: Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains
cites work: Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
cites work: A symmetry problem in potential theory
cites work: Q4004082
cites work: Remarks concerning domains of Smirnov type
cites work: Q5332327
cites work: Remark on the preceding paper of Serrin
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description: scientific article; zbMATH DE number 5152618