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

DOI10.1515/JAA.2008.165zbMath1175.35029OpenAlexW2167437059MaRDI QIDQ3616484

Abdeslem Lyaghfouri

Publication date: 25 March 2009

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2008.165

zbMATH Keywords

Lipschitz continuityfree boundaryproblems in divergence form

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (6)

Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition ⋮ Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients ⋮ 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. ⋮ Lipschitz continuity of solutions of a free boundary problem involving the \(p\)-Laplacian ⋮ REGULARITY RESULTS FOR A QUASILINEAR FREE BOUNDARY PROBLEM

Cites Work

• On the continuity of the free boundary in problems of type \(\operatorname{div}(a(x)\nabla u)=-(h(x)\chi(u))_{x_1}\)
• THE INHOMOGENEOUS DAM PROBLEM WITH LINEAR DARCY’S LAW AND DIRICHLET BOUNDARY CONDITIONS
• Strömungen durch inhomogene poröse Medien mit freiem Rand.

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