Boundary estimates for solutions of two-phase obstacle problems

DOI10.1007/s10958-007-0083-8zbMath1202.35355OpenAlexW2081827004WikidataQ56967389 ScholiaQ56967389MaRDI QIDQ613689

Nina N. Ural'tseva, Darya E. Apushkinskaya

Publication date: 21 December 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0083-8

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Regularity of solutions in optimal control (49N60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)

Cites Work

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• On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
• Variational problems with two phases and their free boundaries
• C^{1, 1} Regularity in semilinear elliptic problems
• 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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