Contact of a thin free boundary with a fixed one in the Signorini problem

DOI10.1090/SPMJ/1399zbMath1335.35310OpenAlexW2963339084MaRDI QIDQ2797733

Norayr Matevosyan, Arshak Petrosyan

Publication date: 6 April 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1399

zbMATH Keywords

Signorini problemoptimal regularitythin free boundarythin obstacle problemAlmgren's frequency formulacontact with fixed boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35)

Cites Work

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• Higher regularity of the free boundary in the elliptic Signorini problem
• The obstacle problem revisited
• On the behavior of free boundaries near the boundary of the domain
• Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Optimal regularity of lower dimensional obstacle problems
• Regularity of solutions of variational inequalities
• The structure of the free boundary for lower dimensional obstacle problems
• Further regularity for the signorini problem
• Partial regularity for weak solutions of an elliptic free boundary problem
• Variational inequalities

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