Free boundary problems for the laplace equation: A priori estimates, existence theorems, asymptotic behaviours

DOI10.1002/mma.1670030105zbMath0453.35038OpenAlexW1999130964MaRDI QIDQ3900396

Hideo Kawarada, Alain Dervieux

Publication date: 1981

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670030105

zbMATH Keywords

asymptotic behaviora priori estimatesLaplace equationfree boundary problemsimplicit function theoremsobstacle problemvariational inequality theoryjet-type problems

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Elliptic equations and elliptic systems (35J99)

Related Items (3)

Generalized implicit function theorems and problems with a free boundary ⋮ A perturbation study of the obstacle problem by means of a generalized implicit function theorem ⋮ Bifurcation phenomena in a free boundary problem for a circulating flow with surface tension

Cites Work

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• A free boundary value problem in potential theory
• Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems
• One-sided estimates for the curvature of the free boundary in the obstacle problem
• Free Boundary Problem
• On a Free Boundary Problem, the Starlike Case
• The regularity of elliptic and parabolic free boundaries
• Variational inequalities
• On the regularity of the solution of a variational inequality

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