Existence and non-existence results for nonlinear elliptic equations with nonstandard growth
type: Item
instance of: scholarly article
title: Existence and non-existence results for nonlinear elliptic equations with nonstandard growth
zbMATH Open document ID: 1312.35088
author: Xiaojuan Chai
author: Weisheng Niu
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-03-27T00:00:00Z
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6420139
zbMATH Keywords: existence and non-existence results
zbMATH Keywords: \(p(x)\)-Laplace equations
zbMATH Keywords: measure data
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.11.030
OpenAlex ID: W2055345879
cites work: Elliptic boundary value problems with nonstandard growth conditions
cites work: A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
cites work: Renormalized solutions for nonlinear elliptic equations with variable exponents and \(L^1\) data
cites work: Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
cites work: Q4851005
cites work: Nonlinear elliptic and parabolic equations involving measure data
cites work: Nonlinear Elliptic Equations with Right Hand Side Measures
cites work: Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: On the integral representation of certain local functionals
cites work: Q4487386
cites work: Maximal function on generalized Lebesgue spaces L^p(⋅)
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: A constrained minimization problem involving the \(p(x)\)-Laplacian in \(\mathbb R^N\)
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: A multiplicity result for \(p(x)\)-Laplacian problem in \(\mathbb R^N\)
cites work: Q4463769
cites work: The strong minimum principle for quasisuperminimizers of non-standard growth
cites work: Overview of differential equations with non-standard growth
cites work: Q3517461
cites work: Q4021390
cites work: Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
cites work: Elliptic equations with nonstandard growth involving measures
cites work: Long-time behavior for a nonlinear parabolic problem with variable exponents
cites work: Non-existence of solutions for some nonlinear elliptic equations involving measures
cites work: Mathematical modeling of electrorheological materials
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Entropy solutions for the $p(x)$-Laplace equation
cites work: Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and \(L^{1}\)-data
cites work: Existence of positive solutions for elliptic systems with nonstandard \(p(x)\)-growth conditions via sub-supersolution method
cites work: ENTROPY AND RENORMALIZED SOLUTIONS FOR THEp(x)-LAPLACIAN EQUATION WITH MEASURE DATA
cites work: Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and \(L^{1}\) data
cites work: On some variational problems
DOI: 10.1016/J.JMAA.2013.11.030
description: scientific article; zbMATH DE number 6420139