Uniqueness and monotonicity of solutions for the interior bernoulli free boundary problem in the convex, n-dimensional case

DOI10.1016/0362-546X(89)90102-8zbMath0714.35085OpenAlexW2064494292MaRDI QIDQ3199931

Andrew Acker

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90102-8

zbMATH Keywords

monotonicityuniquenessinterior Bernoulli free boundary problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)

Related Items (11)

A Bernoulli problem with non-constant gradient boundary constraint ⋮ Convexity of free boundaries with bernoulli type boundary condition ⋮ Concavity properties for elliptic free boundary problems ⋮ On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian ⋮ On an isoperimetric inequality and various methods for the Bernoulli's free boundary problems ⋮ Nonlinear integral equations for Bernoulli's free boundary value problem in three dimensions ⋮ Linear stability analysis of overdetermined problems with non-constant data ⋮ On the non-starlikeness of solutions to the starlike interior wake problem ⋮ On the multi-layer fluid problem: regularlty, uniqueness, convexity, and successive approximation of solutions ⋮ Existence of classical solutions to a free boundary problem for the p-Laplace operator: (I) the exterior convex case ⋮ On a Bernoulli-type overdetermined free boundary problem

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