A two-phase obstacle-type problem for the \(p\)-Laplacian

DOI10.1007/s00526-008-0212-3zbMath1177.35259OpenAlexW2036307841MaRDI QIDQ834618

Erik Lindgren, Anders Edquist

Publication date: 27 August 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-008-0212-3

zbMATH Keywords

\(p\)-Laplacianfree boundaryobstacle-type problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Free boundary problems for PDEs (35R35) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (4)

On a boundary value problem for ap-Dirac equation ⋮ A remark on the two-phase obstacle-type problem for the \(p\)-Laplacian ⋮ Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale ⋮ On the two-phase membrane problem with coefficients below the Lipschitz threshold

Cites Work

• Hausdorff measure and stability for the \(p\)-obstacle problem \((2<p<\infty)\).
• On the porosity of free boundaries in degenerate variational inequalities
• Some new monotonicity theorems with applications to free boundary problems.
• Global solutions of an obstacle-problem-like equation with two phases
• The two-phase membrane problem--an intersection-comparison approach to the regularity at branch points
• C^{1, 1} Regularity in semilinear elliptic problems

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