Inhomogeneous minimization problems for the \(p(x)\)-Laplacian
From MaRDI portal
Publication:2633744
DOI10.1016/j.jmaa.2019.02.049zbMath1429.49005arXiv1901.01165OpenAlexW2907225333WikidataQ128351328 ScholiaQ128351328MaRDI QIDQ2633744
Noemí I. Wolanski, Claudia Lederman
Publication date: 10 May 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.01165
singular perturbationminimization problemfree boundary problemvariable exponent spacesinhomogeneous problemregularity of the free boundary
Medical applications (general) (92C50) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items
Lipschitz continuity of minimizers in a problem with nonstandard growth, Domain variation solutions for degenerate two phase free boundary problems, Regularity of Lipschitz free boundaries for a \(p(x)\)-Laplacian problem with right hand side, A transmission problem with (p, q)-Laplacian, 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, An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth, Recent results on nonlinear elliptic free boundary problems
Cites Work
- An inhomogeneous singular perturbation problem for the \(p(x)\)-Laplacian
- Lebesgue and Sobolev spaces with variable exponents
- Fully nonlinear singularly perturbed equations and asymptotic free boundaries
- Hausdorff measure estimates and Lipschitz regularity in inhomogeneous nonlinear free boundary problems
- A two phase elliptic singular perturbation problem with a forcing term
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- A minimum problem with free boundary in Orlicz spaces
- A quasilinear parabolic singular perturbation problem
- New diffusion models in image processing
- A free boundary problem for the \(p(x)\)-Laplacian
- A singular limit arising in combustion theory: Fine properties of the free boundary
- Capacities in generalized Orlicz spaces
- A minimum problem with free boundary for a degenerate quasilinear operator
- Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the \(p(x)\)-Laplacian
- Singular perturbation method for inhomogeneous nonlinear free boundary problems
- Uniform estimates and limits for a two phase parabolic singular perturbation problem
- A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
- Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem
- A Singular Perturbation Problem for a Quasi-Linear Operator Satisfying the Natural Growth Condition of Lieberman
- Partial Differential Equations with Variable Exponents
- Singular Perturbation in a Nonlocal Diffusion Problem
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Local bounds, Harnack inequality and H\"older continuity for divergence type elliptic equations with nonstardard growth
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
