Existence of quadrature surfaces for positive measures with finite support

DOI10.1007/BF01053435zbMath0796.31004OpenAlexW1996400409MaRDI QIDQ1320304

Henrik Shahgholian

Publication date: 5 October 1994

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01053435

zbMATH Keywords

free boundary problemharmonic functionquadrature surface

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (6)

Convexity of free boundaries with bernoulli type boundary condition ⋮ Harmonic balls and the two-phase Schwarz function ⋮ Two- and multi-phase quadrature surfaces ⋮ A Riemannian Point of View for a Quadrature Surface Free Boundary Problem ⋮ Geometric flows for quadrature identities ⋮ Perturbed divisible sandpiles and quadrature surfaces

Cites Work

• Quadrature surfaces as free boundaries
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