Ground state solutions for a class of elliptic Dirichlet problems involving the \(p(x)\)-Laplacian
type: Item
instance of: scholarly article
title: Ground state solutions for a class of elliptic Dirichlet problems involving the \(p(x)\)-Laplacian
zbMATH Open document ID: 1473.35313
author: Bin Ge
author: Xiang-Wu Zhuge
author: Wen-Shuo Yuan
published in: Analysis and Mathematical Physics
publication date: 2021-08-31T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7388814
zbMATH Keywords: \(p(x)\)-Laplacian equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: existence of ground state solutions
MaRDI profile type: Publication
full work available at URL: s13324-021-00562-9
OpenAlex ID: W3171447397
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
cites work: Electrorheological fluids: modeling and mathematical theory
cites work: On stationary thermo-rheological viscous flows
cites work: A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Image denoising using directional adaptive variable exponents model
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: On the sub-supersolution method for \(p(x)\)-Laplacian equations
cites work: Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
cites work: Multiplicity of solutions for a general \(p(x)\)-Laplacian Dirichlet problem
cites work: Infinitely many non-negative solutions for a Dirichlet problem involving \(p(x)\)-Laplacian
cites work: Q5409271
cites work: \(p(x)\)-Laplacian equations satisfying Cerami condition
cites work: On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition
cites work: Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
cites work: Existence of solutions for \(p(x)\) Laplacian equations without Ambrosetti-Rabinowitz type condition
cites work: Dual variational methods in critical point theory and applications
cites work: A general variational principle and some of its applications
cites work: EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR AN ELLIPTIC EQUATION WITH $p(x)$-GROWTH CONDITIONS
cites work: Existence of three solutions for \(p(x)\)-Laplacian equations
cites work: Q5199536
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Q4021390
cites work: Sobolev embeddings with variable exponent
cites work: Q4454131
cites work: A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
cites work: Q5777976
cites work: Partial symmetry of least energy nodal solutions to some variational problems
cites work: Minimax theorems
cites work: Ground state solutions for some indefinite variational problems
cites work: Multiple solutions for a quasilinear Schrödinger equation
cites work: On the variational principle
DOI: 10.1007/S13324-021-00562-9
description: scientific article; zbMATH DE number 7388814