On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

DOI10.1007/s00208-011-0647-2zbMath1234.35317OpenAlexW3023127377MaRDI QIDQ663227

John Andersson, Hayk Mikayelyan

Publication date: 14 February 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-011-0647-2

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Cites Work

• On the regularity of a free boundary near contact points with a fixed boundary
• The behavior of the free boundary near the fixed boundary for a minimization problem
• On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
• The obstacle problem revisited
• Regularity properties of a free boundary near contact points with the fixed boundary.
• Global solutions of an obstacle-problem-like equation with two phases
• 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
• Partial regularity for weak solutions of an elliptic free boundary problem
• An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary

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