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

DOI10.1007/s11512-005-0005-2zbMath1170.35560arXivmath/0405562OpenAlexW2094150796MaRDI QIDQ1005714

Hayk Mikayelyan, John Andersson, Norayr Matevosyan

Publication date: 9 March 2009

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405562

zbMATH Keywords

free boundary problemglobal solutionsmonotonicity formulaobstacle-like problem

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)

Related Items (5)

Properties of the free boundary near the fixed boundary of the double obstacle problems ⋮ On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions ⋮ Boundary estimates for solutions of two-phase obstacle problems ⋮ On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem ⋮ Tangential touch between the free and the fixed boundary in a semilinear free boundary problem in two dimensions

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
• 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
• Variational problems with two phases and their free boundaries
• Partial regularity for weak solutions of an elliptic free boundary problem
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• Tangential Touch Between Free and Fixed Boundaries in a Problem from Superconductivity
• 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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