On the continuity of the free boundary in the problemΔpu = − (h(x, y)χ(u))x

DOI10.1080/00036810701620601zbMath1136.35105OpenAlexW1976775461WikidataQ58140666 ScholiaQ58140666MaRDI QIDQ5441017

Abdeslem Lyaghfouri, Samia Challal

Publication date: 7 February 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701620601

zbMATH Keywords

continuity\(p\)-Laplacianfree boundarybarrier function

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)

Related Items (3)

Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition ⋮ A continuity result for a quasilinear elliptic free boundary problem. ⋮ REGULARITY RESULTS FOR A QUASILINEAR FREE BOUNDARY PROBLEM

Cites Work

• Lipschitz continuity of solutions of a free boundary problem involving the \(p\)-Laplacian
• Regularity for a more general class of quasilinear equations
• On the continuity of the free boundary in some class of two-dimensional problems

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