Critical points approaches to a nonlocal elliptic problem driven by \(p(x)\)-biharmonic operator
type: Item
instance of: scholarly article
title: Critical points approaches to a nonlocal elliptic problem driven by \(p(x)\)-biharmonic operator
zbMATH Open document ID: 1484.35179
author: Shapour Heidarkhani
author: Shahin Moradi
author: Mustafa Avci
published in: Georgian Mathematical Journal
publication date: 2022-02-14T00:00:00Z
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7472935
zbMATH Keywords: \(p(x)\)-biharmonic operator
zbMATH Keywords: nonlocal elliptic equation
zbMATH Keywords: existence
MaRDI profile type: Publication
full work available at URL: gmj-2021-2115
OpenAlex ID: W3214641372
cites work: A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
cites work: Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
cites work: Multiplicity results for a perturbed elliptic Neumann problem
cites work: On the structure of the critical set of non-differentiable functions with a weak compactness condition
cites work: Multiple solutions for a perturbed mixed boundary value problem involving the one-dimensional p -Laplacian
cites work: Infinitely many non-negative solutions for a \(p(x)\)-Kirchhoff-type problem with Dirichlet boundary condition
cites work: Existence of infinitely many solutions for a Neumann problem involving the \(p(x)\)-Laplacian
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: A variational approach to a Kirchhoff-type problem involving two parameters
cites work: Existence and multiplicity results for a new \(p(x)\)-Kirchhoff problem
cites work: Variational approaches to impulsive elastic beam equations of Kirchhoff type
cites work: Q2958560
cites work: Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions
cites work: Multiple solutions for Kirchhoff‐type problems with variable exponent and nonhomogeneous Neumann conditions
cites work: Q5140160
cites work: Multiplicity results forp(x)-biharmonic equations with Navier boundary conditions
cites work: Three solutions for second-order boundary-value problems with variable exponents
cites work: Q4627064
cites work: Multiple solutions for fourth order elliptic problems with \(p(x)\)-biharmonic operators
cites work: Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
cites work: Multiple solutions for nonlocal elliptic problems driven by \(p(x)\)-biharmonic operator
cites work: Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
cites work: Applications of local linking to nonlocal Neumann problems
cites work: On an elliptic Kirchhoff-type problem depending on two parameters
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Q4186717
cites work: Q5740161
cites work: Existence of three solutions for a Navier boundary value problem involving the \(p(x)\)-biharmonic
cites work: Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator
cites work: Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
cites work: Q3995594
DOI: 10.1515/GMJ-2021-2115
description: scientific article; zbMATH DE number 7472935