Properties of some balayage operators, with applications to quadrature domains and moving boundary problems

DOI10.1016/0362-546X(94)90107-4zbMath0852.35144OpenAlexW2168815412MaRDI QIDQ4306587

Björn Gustafsson, Makoto Sakai

Publication date: 9 December 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90107-4

zbMATH Keywords

Hele-Shaw flowselliptic variational inequalitybalayage operators

Mathematics Subject Classification ID

Related Items (21)

Restriction operators, balayage and doubly orthogonal systems of analytic functions ⋮ Harmonic balls and the two-phase Schwarz function ⋮ On a minimal element for a family of bodies producing the same external gravitational field ⋮ Two-phase quadrature domains ⋮ Analytic content and the isoperimetric inequality in higher dimensions ⋮ On the structure of partial balayage ⋮ A reconstruction method for the inverse gravimetric problem ⋮ A two phase free boundary problem related to quadrature domains ⋮ Scaling limits for internal aggregation models with multiple sources ⋮ Selected topics on quadrature domains ⋮ Direct and inverse balayage — Some new developments in classical potential theory ⋮ On the curvature of some free boundaries in higher dimensions ⋮ Small modifications of quadrature domains ⋮ Partial balayage on Riemannian manifolds ⋮ Topology of quadrature domains ⋮ Convexity and the Exterior Inverse Problem of Potential Theory ⋮ Equilibrium measures and partial balayage ⋮ Stationary boundary points for a Laplacian growth problem in higher dimensions ⋮ On a conjecture of Gustafsson and Lin concerning Laplacian growth ⋮ Linear combinations of harmonic measures and quadrature domains of signed measures with small supports ⋮ Quadrature Domains and Their Two-Phase Counterparts

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