\(C^{2,\alpha}\) regularity of flat free boundaries for the thin one-phase problem

DOI10.1016/j.jde.2012.06.021zbMath1248.35238arXiv1111.2513OpenAlexW1590245342MaRDI QIDQ449244

Daniela De Silva, Ovidiu V. Savin

Publication date: 12 September 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2513

zbMATH Keywords

Harnack inequalityone-phase free boundary problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11)

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Cites Work

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• Regularity in a one-phase free boundary problem for the fractional Laplacian
• Variational problems with free boundaries for the fractional Laplacian
• A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
• Partial regularity for weak solutions of an elliptic free boundary problem
• Small Perturbation Solutions for Elliptic Equations

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