On an open problem involving the \(p(x)\)-Laplacian-A further study on the multiplicity of weak solutions to \(p(x)\)-Laplacian equations
type: Item
instance of: scholarly article
title: On an open problem involving the \(p(x)\)-Laplacian-A further study on the multiplicity of weak solutions to \(p(x)\)-Laplacian equations
zbMATH Open document ID: 1144.35390
author: Jinghua Yao
author: Xiao-Yan Wang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-09-10T00:00:00Z
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 5324006
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: variable exponent Sobolev space
zbMATH Keywords: critical point
zbMATH Keywords: symmetric mountain pass Lemma
zbMATH Keywords: weak solution
MaRDI profile type: Publication
full work available at URL: j.na.2007.06.044
OpenAlex ID: W2026803045
cites work: Existence results for the \(p\)-Laplacian with nonlinear boundary conditions
cites work: Q4538829
cites work: Density of smooth functions in W k, p(x) ( Ω )
cites work: Sobolev embeddings with variable exponent
cites work: Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
cites work: Q3398657
cites work: Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
cites work: Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: A class of De Giorgi type and Hölder continuity
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
cites work: Q4021390
cites work: A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
cites work: On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Q4714152
cites work: Minimax theorems
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
cites work: On Lavrentiev's phenomenon
cites work: On some variational problems
DOI: 10.1016/J.NA.2007.06.044
description: scientific article; zbMATH DE number 5324006