On the Free Boundary in Heterogeneous Obstacle-Type Problems with Two Phases

DOI10.1090/spmj/1400zbMath1335.35311OpenAlexW2321355312MaRDI QIDQ2797734

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Publication date: 6 April 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1400

zbMATH Keywords

\(p\)-Laplacianfree boundary problemsobstacle problemquasilinear elliptic operator

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

A posteriori error estimates for elliptic variational inequalities, Obstacle problem for von Kármán equations, Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities, Weak entropy solutions for degenerate parabolic--hyperbolic inequalities, Numerical verification of solutions for obstacle problems using a Newton-like method, Numerical verification of solutions for elasto-plastic torsion problems, Numerical verification of solutions for variational inequalities of the second kind

Cites Work

• On the regularity of the free boundary for quasilinear obstacle problems
• \(L^1\) existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions
• Regularity for a more general class of quasilinear equations
• Nonlinear diffusion with absorption
• Stability remarks to the obstacle problem for \(p\)-Laplacian type equations
• Semi-linear second-order elliptic equations in \(L^1\)
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• The Two-Phase Membrane Problem--Regularity of the Free Boundaries in Higher Dimensions
• Nonlinear partial differential equations with applications
• An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary
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