A free boundary problem for the \(p(x)\)-Laplacian

DOI10.1016/j.na.2009.07.048zbMath1183.35096arXiv0902.3216OpenAlexW1529395073MaRDI QIDQ1049069

Julián Fernández Bonder, Sandra R. Martinez, Noemí I. Wolanski

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3216

zbMATH Keywords

minimizationvariable exponent spaces\(p(x)\)-Laplacianfree boundaries

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

An inhomogeneous singular perturbation problem for the \(p(x)\)-Laplacian ⋮ Inhomogeneous minimization problems for the \(p(x)\)-Laplacian ⋮ Lipschitz continuity of minimizers in a problem with nonstandard growth ⋮ Regularity of Lipschitz free boundaries for a \(p(x)\)-Laplacian problem with right hand side ⋮ Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy ⋮ Regularity of flat free boundaries for a \(p(x)\)-Laplacian problem with right hand side ⋮ Overview of differential equations with non-standard growth ⋮ An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth ⋮ Recent results on nonlinear elliptic free boundary problems

Cites Work

• Unnamed Item
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• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimization problem with free boundary governed by a degenerate quasilinear operator.
• A two phase elliptic singular perturbation problem with a forcing term
• Harnack's inequality for quasiminimizers with nonstandard growth conditions
• A minimum problem with free boundary in Orlicz spaces
• On Lavrentiev's phenomenon
• On some variational problems
• Electrorheological fluids: modeling and mathematical theory
• A minimum problem with free boundary for a degenerate quasilinear operator
• Regularity results for stationary electro-rheological fluids
• An obstacle problem and superharmonic functions with nonstandard growth
• An optimization problem with volume constraint for a degenerate quasilinear operator
• Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant
• An Optimization Problem with Volume Constraint
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Regularity results for a class of functionals with non-standard growth

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