The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions

DOI10.1007/S10440-022-00538-2zbMath1499.35272OpenAlexW4308409903MaRDI QIDQ2105875

Publication date: 8 December 2022

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-022-00538-2

zbMATH Keywords

variational method Nehari manifold \(p(x)\)-biharmonic operator generalized Sobolev spaces

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions
A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
Existence and multiplicity of solutions for \(p(x)\)-curl systems arising in electromagnetism
Orlicz spaces and modular spaces
Characteristic values associated with a class of nonlinear second-order differential equations
Existence of solutions for systems arising in electromagnetism
On stationary thermo-rheological viscous flows
The local boundedness and Harnack inequality of \(p(x)\)-Laplace equation
Variable exponent functionals in image restoration
On solutions of second and fourth order elliptic equations with power-type nonlinearities
On the modeling of electrorheological materials
Electrorheological fluids: modeling and mathematical theory
The fibering map approach to a \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions
Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
On a fourth order elliptic problem with a \(p(x)\)-biharmonic operator
Eigenvalues of the \(p(x)\)-biharmonic operator with indefinite weight
A multiplicity results for a singular equation involving thep(x)-Laplace operator
On a Class of Nonlinear Second-Order Differential Equations
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
Thin Films with High Surface Tension
Positive solutions for the p-Laplacian: application of the fibrering method
Sobolev embeddings with variable exponent
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator
Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator
Partial Differential Equations with Variable Exponents
Existence of solutions for perturbed fourth order elliptic equations with variable exponents
Variable Exponent, Linear Growth Functionals in Image Restoration
On harnack type inequalities and their application to quasilinear elliptic equations
Existence results for perturbed weighted p(x)-biharmonic problem with Navier boundary conditions
Low perturbations of p-biharmonic equations with competing nonlinearities
A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions