Infinitely many small solutions for the \( p (x)\)-Laplacian operator with nonlinear boundary conditions
type: Item
instance of: scholarly article
title: Infinitely many small solutions for the \( p (x)\)-Laplacian operator with nonlinear boundary conditions
zbMATH Open document ID: 1266.35093
author: Sihua Liang
author: Jihui Zhang
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2013-03-26T00:00:00Z
Mathematics Subject Classification ID: 35J66
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35J62
zbMATH DE Number: 6148909
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: generalized Lebesgue-Sobolev spaces
zbMATH Keywords: nonlinear boundary conditions
zbMATH Keywords: concentration-compactness principle
MaRDI profile type: Publication
full work available at URL: s10231-011-0209-y
OpenAlex ID: W2027653791
cites work: The concentration-compactness principle for variable exponent spaces and applications
cites work: Multiple solutions for the \(p\)-Laplace operator with critical growth
cites work: Existence results for gradient elliptic systems with nonlinear boundary conditions
cites work: Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev–Hardy exponents
cites work: A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
cites work: An integral representation theorem for lower semicontinuous envelopes of integral functionals
cites work: Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Regularity results for a class of functionals with non-standard growth
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Q4021390
cites work: Q3630817
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: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
cites work: Existence of radial solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: Compact embedding from \(W_0^{1,2}(\Omega)\) to \(L^{q(x)}(\Omega )\) and its application to nonlinear elliptic boundary value problem with variable critical exponent
cites work: Overview of differential equations with non-standard growth
cites work: Variable exponent Sobolev spaces with zero boundary values
cites work: Traces and Sobolev extension domains
cites work: Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
cites work: Existence of solutions for \(p(x)\)-Laplacian problem on an unbounded domain
cites work: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
cites work: Multiple solutions for the p\&q-Laplacian problem with critical exponents
cites work: Boundary trace embedding theorems for variable exponent Sobolev spaces
cites work: The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
cites work: Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent
cites work: Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: Q3749777
DOI: 10.1007/S10231-011-0209-Y
description: scientific article; zbMATH DE number 6148909