A Bernoulli problem with non-constant gradient boundary constraint

DOI10.1080/00036811.2010.549479zbMath1238.35192arXiv1009.1277OpenAlexW2011555768WikidataQ58179388 ScholiaQ58179388MaRDI QIDQ2883296

Chiara Bianchini

Publication date: 11 May 2012

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

Full work available at URL: https://arxiv.org/abs/1009.1277

zbMATH Keywords

convexityinterior Bernoulli problemnon-constant gradient

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Free boundary problems for PDEs (35R35) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Linear stability analysis of overdetermined problems with non-constant data ⋮ A scalar prototype problem of deep abrasive drilling with an infinite free boundary: an asymptotic modeling study ⋮ A characterization of balls through optimal concavity for potential functions ⋮ Symmetry breaking bifurcations for two overdetermined boundary value problems with non-constant Neumann condition on exterior domains in R3 ⋮ Bernoulli's problem for the infinity-Laplacian near a set with positive reach

Cites Work

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• Existence of classical solutions to a free boundary problem for the p-Laplace operator: (II) the interior convex case
• Convexity of free boundaries with bernoulli type boundary condition

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