The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions
type: Item
instance of: scholarly article
title: The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions
zbMATH Open document ID: 1499.35272
author: Lamine Mbarki
published in: Acta Applicandae Mathematicae
publication date: 2022-12-08T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J92
zbMATH DE Number: 7629802
zbMATH Keywords: \(p(x)\)-biharmonic operator
zbMATH Keywords: generalized Sobolev spaces
zbMATH Keywords: variational method
zbMATH Keywords: Nehari manifold
MaRDI profile type: Publication
full work available at URL: s10440-022-00538-2
OpenAlex ID: W4308409903
cites work: Low perturbations of p-biharmonic equations with competing nonlinearities
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: Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Existence of solutions for perturbed fourth order elliptic equations with variable exponents
cites work: Positive solutions for the p-Laplacian: application of the fibrering method
cites work: Sobolev embeddings with variable exponent
cites work: Q4615671
cites work: Q3650984
cites work: Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: On solutions of second and fourth order elliptic equations with power-type nonlinearities
cites work: Eigenvalues of the \(p(x)\)-biharmonic operator with indefinite weight
cites work: Existence of solutions for systems arising in electromagnetism
cites work: Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions
cites work: On a fourth order elliptic problem with a \(p(x)\)-biharmonic operator
cites work: Q4021390
cites work: Existence results for perturbed weighted p(x)-biharmonic problem with Navier boundary conditions
cites work: Variable exponent functionals in image restoration
cites work: A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
cites work: Q3130667
cites work: Orlicz spaces and modular spaces
cites work: Thin Films with High Surface Tension
cites work: On a Class of Nonlinear Second-Order Differential Equations
cites work: Characteristic values associated with a class of nonlinear second-order differential equations
cites work: Partial Differential Equations with Variable Exponents
cites work: On the modeling of electrorheological materials
cites work: The Nehari manifold approach for singular equations involving the p(x)-Laplace operator
cites work: Electrorheological fluids: modeling and mathematical theory
cites work: The fibering map approach to a \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions
cites work: A multiplicity results for a singular equation involving thep(x)-Laplace operator
cites work: On harnack type inequalities and their application to quasilinear elliptic equations
cites work: Existence and multiplicity of solutions for \(p(x)\)-curl systems arising in electromagnetism
cites work: The local boundedness and Harnack inequality of \(p(x)\)-Laplace equation
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
DOI: 10.1007/S10440-022-00538-2
description: scientific article; zbMATH DE number 7629802