Analysis of a free boundary at contact points with Lipschitz data

DOI10.1090/S0002-9947-2015-06187-XzbMath1348.35331arXiv1205.5052OpenAlexW2072414449MaRDI QIDQ5247031

Aram L. Karakhanyan, Henrik Shahgholian

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5052

zbMATH Keywords

functionalexistence of a solutionasymptotic of a free boundaryone- and two-phase multidimensional free boundary problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

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Cites Work

• The behavior of the free boundary near the fixed boundary for a minimization problem
• Partial regularity for a minimum problem with free boundary
• Elliptic partial differential equations of second order
• Regularity of a free boundary with application to the Pompeiu problem
• Global solutions of the obstacle problem in half-spaces, and their impact on local stability
• Variational problems with two phases and their free boundaries
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