A minimization problem for the \(p(x)\)-Laplacian involving area
type: Item
instance of: scholarly article
title: A minimization problem for the \(p(x)\)-Laplacian involving area
zbMATH Open document ID: 1469.35267
author: Giane C. Rampasso
author: Noemí Wolanski
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2021-07-23T00:00:00Z
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 7374213
zbMATH Keywords: variable exponent spaces
zbMATH Keywords: regularity of the free boundary
MaRDI profile type: Publication
full work available at URL: s10231-021-01073-x
OpenAlex ID: W3133686588
cites work: New diffusion models in image processing
cites work: Q4954179
cites work: Q5489598
cites work: An area-Dirichlet integral minimization problem.
cites work: Second order regularity for the p (x )-Laplace operator
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
cites work: Q3334514
cites work: Analytic regularity of a free boundary problem
cites work: Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian
cites work: Linear and quasilinear elliptic equations
cites work: An inhomogeneous singular perturbation problem for the \(p(x)\)-Laplacian
cites work: An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
cites work: A Single Phase Variational Problem Involving the Area of Level Surfaces
cites work: Convexity of the free boundary for an exterior free boundary problem involving the perimeter
cites work: Hopf's lemma for a class of singular/degenerate PDE-s
cites work: Electrorheological fluids: modeling and mathematical theory
cites work: A minimum problem with free boundary in Orlicz spaces
cites work: Local bounds, Harnack inequality and H\"older continuity for divergence type elliptic equations with nonstardard growth
DOI: 10.1007/S10231-021-01073-X
description: scientific article; zbMATH DE number 7374213