Existence and asymptotic behavior of positive solutions for a variable exponent elliptic system without variational structure
type: Item
instance of: scholarly article
title: Existence and asymptotic behavior of positive solutions for a variable exponent elliptic system without variational structure
zbMATH Open document ID: 1181.35077
author: Qihu Zhang
author: Zhimei Qiu
author: Rong Dong
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-01-12T00:00:00Z
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 5656715
zbMATH Keywords: variable exponent elliptic system
zbMATH Keywords: subsolution
zbMATH Keywords: supersolution
zbMATH Keywords: \(p(x)\)-Laplacian
MaRDI profile type: Publication
full work available at URL: j.na.2009.06.069
OpenAlex ID: W1987702956
cites work: Regularity results for stationary electro-rheological fluids
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
cites work: Gradient estimates for thep(x)-Laplacean system
cites work: Regularity results for a class of functionals with non-standard growth
cites work: Hölder continuity of the gradient of p(x)-harmonic mappings
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
cites work: The quasi-minimizer of integral functionals with \(m(x)\) growth conditions
cites work: On the sub-supersolution method for \(p(x)\)-Laplacian equations
cites work: Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
cites work: Hartman-type results for \(p(t)\)-Laplacian systems
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: Q4237769
cites work: Existence results to elliptic systems with nonstandard growth conditions
cites work: Regularity and existence of solutions of elliptic equations with p,q- growth conditions
cites work: Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
cites work: Existence of solutions for weighted \(p(r)\)-Laplacian system boundary value problems
cites work: Existence of radial solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: Existence of positive solutions for elliptic systems with nonstandard \(p(x)\)-growth conditions via sub-supersolution method
cites work: Existence of positive solutions for a class of \(p(x)\)-Laplacian systems
cites work: A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
cites work: On positive solutions for classes of \(p\)-Laplacian semipositone systems
cites work: On positive weak solutions for a class of quasilinear elliptic systems
cites work: An existence result on positive solutions for a class of \(p\)-Laplacian systems.
DOI: 10.1016/J.NA.2009.06.069
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description: scientific article; zbMATH DE number 5656715