Lipschitz continuity of solutions of a free boundary problem involving the \(p\)-Laplacian

DOI10.1016/j.jmaa.2009.02.012zbMath1167.35551arXiv1906.06511OpenAlexW2032729100MaRDI QIDQ1022970

Samia Challal, Abdeslem Lyaghfouri

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06511

zbMATH Keywords

Lipschitz continuity\(p\)-Laplacianfree boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side, Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients, On the continuity of the free boundary in the problemΔ_pu = − (h(x, y)χ(u))_x, A note on Lipschitz continuity of the solutions of a class of elliptic free boundary problems, A continuity result for a quasilinear elliptic free boundary problem., REGULARITY RESULTS FOR A QUASILINEAR FREE BOUNDARY PROBLEM

Cites Work

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• On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems