Continuity of the free boundary in a non-degenerate p-obstacle problem type with monotone solution

DOI10.1080/00036811.2012.683787zbMath1273.35325OpenAlexW2040245298WikidataQ58293660 ScholiaQ58293660MaRDI QIDQ2844777

Samia Challal

Publication date: 19 August 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2012.683787

zbMATH Keywords

positive solutionsvariational methodsnonlinear elliptic equations

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Positive solutions to PDEs (35B09)

Cites Work

• On the \(A\)-obstacle problem and the Hausdorff measure of its free boundary
• Second order regularity for the \(A\)-Laplace operator
• Hausdorff measure and stability for the \(p\)-obstacle problem \((2<p<\infty)\).
• Boundary regularity for solutions of degenerate elliptic equations
• The dam problem for non-linear Darcy's laws and non-linear leaky boundary conditions
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations

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