Multiple solutions for elliptic \((p(x), q(x))\)-Kirchhoff-type potential systems in unbounded domains
type: Item
instance of: scholarly article
title: Multiple solutions for elliptic \((p(x), q(x))\)-Kirchhoff-type potential systems in unbounded domains
zbMATH Open document ID: 1466.35128
DOI: 10.1155/2020/3438169
author: Nabil Chems Eddine
author: Abderrahmane El Hachimi
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: In this paper, we establish the existence of at least three weak solutions for a parametric double eigenvalue quasi-linear elliptic \((p(x), q(x))\)-Kirchhoff-type potential system. Our approach is based on a variational method, and a three critical point theorem is obtained by Bonano and Marano.
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7349522
zbMATH Keywords: system of Kirchhoff-type equations
zbMATH Keywords: existence of solutions
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/3438169
OpenAlex ID: W3018531339
cites work: Discontinuous elliptic problems involving the p(x)‐Laplacian
cites work: Multiple solutions for a Neumann problem involving the \(p(x)\)-Laplacian
cites work: Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
cites work: Q5124225
cites work: Three solutions for a nonlocal Dirichlet boundary value problem involving thep(x)-Laplacian
cites work: Q3165089
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: Existence of three solutions for a class of quasilinear elliptic systems involving the \((p(x),q(x))\)-Laplacian
cites work: Three solutions to a Neumann problem for elliptic equations with variable exponent
cites work: Existence and multiplicity of solutions for a general \(p(x)\)-Laplacian Neumann problem
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
cites work: Flow of shear dependent electrorheological fluids
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: On stationary thermo-rheological viscous flows
cites work: Q3183790
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
cites work: Q5399754
cites work: Q2988782
cites work: Multiple solutions for nonlocal system of \((p(x), q(x))\)-Kirchhoff type
cites work: Q3098420
cites work: Q3119727
cites work: On the structure of the critical set of non-differentiable functions with a weak compactness condition
cites work: Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Q4021390
cites work: The maximal operator on weighted variable Lebesgue spaces
cites work: Sobolev embeddings with variable exponent
cites work: Degenerate parabolic equations
cites work: Q3995594
cites work: Weighted variable Sobolev spaces and capacity
description: scientific article; zbMATH DE number 7349522