A constrained minimization problem involving the \(p(x)\)-Laplacian in \(\mathbb R^N\)
type: Item
instance of: scholarly article
title: A constrained minimization problem involving the \(p(x)\)-Laplacian in \(\mathbb R^N\)
zbMATH Open document ID: 1159.35326
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-11-20T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 58E30
zbMATH DE Number: 5369446
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: variable exponent Sobolev space
zbMATH Keywords: concentration-compactness principle
zbMATH Keywords: constrained minimization
author: Xianling Fan
MaRDI profile type: Publication
full work available at URL: j.na.2007.10.002
OpenAlex ID: W1591039947
cites work: Regularity results for a class of functionals with non-standard growth
cites work: Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents
cites work: On the existence of positive entire solutions of a semilinear elliptic equation
cites work: Multiple positive solutions of quasilinear elliptic equations in R
cites work: Q4797974
cites work: Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
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: Q4454131
cites work: Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
cites work: Q4021390
cites work: Eigenvalue problems for quasilinear elliptic equations on RN
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Regularity and existence of solutions of elliptic equations with p,q- growth conditions
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
cites work: Q4714152
cites work: A relation between critical values and eigenvalues in nonliner minimax problems
cites work: Minimax theorems
cites work: On some variational problems
cites work: Multiple entire solutions of a semilinear elliptic equation
DOI: 10.1016/J.NA.2007.10.002
description: scientific article; zbMATH DE number 5369446