Existence and multiplicity of solutions for Dirichlet problem of \(p(x)\)-Laplacian type without the Ambrosetti-Rabinowitz condition
type: Item
instance of: scholarly article
title: Existence and multiplicity of solutions for Dirichlet problem of \(p(x)\)-Laplacian type without the Ambrosetti-Rabinowitz condition
zbMATH Open document ID: 1473.35311
author: Sitong Chen
author: X. H. Tang
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-06-14T00:00:00Z
review text: The authors present existence and multiplicity results for a Dirichlet problem driven by a variable exponent operator of \(p(x)\)-Laplacian type without assuming that the reaction term satisfies the Ambrosetti-Rabinowitz condition.
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7358793
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: existence
zbMATH Keywords: variational methods
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: j.jmaa.2020.123882
OpenAlex ID: W3004492871
cites work: Regularity results for stationary electro-rheological fluids
cites work: Dual variational methods in critical point theory and applications
cites work: Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
cites work: On the planar Schrödinger-Poisson system with the axially symmetric potential
cites work: Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
cites work: Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
cites work: Existence results for perturbations of the p-Laplacian
cites work: OnLp(x)norms
cites work: Sobolev embeddings with variable exponent
cites work: Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: Q4021390
cites work: Superlinear problems without Ambrosetti and Rabinowitz growth condition
cites work: Orlicz spaces and modular spaces
cites work: Nonlinear Analysis - Theory and Methods
cites work: Q3749777
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
cites work: Nonlinear elliptic equations with variable exponent: old and new
cites work: Partial Differential Equations with Variable Exponents
cites work: Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions
cites work: Nontrivial solutions for Schrödinger equation with local super-quadratic conditions
cites work: Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
cites work: Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems
cites work: Double phase anisotropic variational problems and combined effects of reaction and absorption terms
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
cites work: On the superlinear problems involving \(p(x)\)-Laplacian-like operators without AR-condition
DOI: 10.1016/J.JMAA.2020.123882
description: scientific article; zbMATH DE number 7358793