A local mountain pass theorem and applications to a double perturbed \(p(x)\)-Laplacian equations
type: Item
instance of: scholarly article
title: A local mountain pass theorem and applications to a double perturbed \(p(x)\)-Laplacian equations
zbMATH Open document ID: 1173.35045
author: Shao-Gao Deng
published in: Applied Mathematics and Computation
publication date: 2009-06-08T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 5562752
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: weighted variable exponent Sobolev trace embedding theorem
zbMATH Keywords: Neumann problem
zbMATH Keywords: nonlinear boundary condition
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: j.amc.2009.01.042
OpenAlex ID: W1975944522
cites work: Equivalent Norms for Sobolev Spaces
cites work: Dual variational methods in critical point theory and applications
cites work: Q4265260
cites work: Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods.
cites work: Existence results for the \(p\)-Laplacian with nonlinear boundary conditions
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Existence of positive solutions of a semilinear elliptic equation in \(\mathbb{R}_+^n\) with a nonlinear boundary condition
cites work: On the solutions to some elliptic equations with nonlinear Neumann boundary conditions
cites work: Existence and non-existence results for a quasilinear problem with nonlinear boundary condition
cites work: Eigenvalues of the \(p(x)\)-Laplacian Steklov problem
cites work: Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
cites work: Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
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: Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition
cites work: Q4021390
cites work: Q4804257
cites work: Q4386843
cites work: Extensions of the mountain pass theorem
cites work: A mountain pass theorem
cites work: Q4824500
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition
cites work: Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions
cites work: Minimax theorems
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
DOI: 10.1016/J.AMC.2009.01.042
description: scientific article; zbMATH DE number 5562752