Multiplicity result for some nonlocal anisotropic equation via nonsmooth critical point theory approach
From MaRDI portal
Publication:720647
DOI10.1016/j.amc.2011.05.097zbMath1260.76033OpenAlexW1979253378MaRDI QIDQ720647
Publication date: 11 October 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.097
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Critical points of functions and mappings on manifolds (58K05)
Related Items
Nonvariational approach in the study of Kirchhoff-type equations without symmetry and involving variable exponent ⋮ Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces ⋮ Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method ⋮ Existence of three solutions for some equation of Kirchhoff type involving variable exponents ⋮ Multiple solutions to a class of \(p(x)\)-biharmonic differential inclusion problem with no-flux boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a perturbed Dirichlet problem for a nonlocal differential equation of Kirchhoff type
- Lebesgue and Sobolev spaces with variable exponents
- On nonlocal \(\vec p (x)\)-Laplacian equations
- Infinitely many non-negative solutions for a \(p(x)\)-Kirchhoff-type problem with Dirichlet boundary condition
- Orlicz spaces and modular spaces
- Extinction of solutions of parabolic equations with variable anisotropic nonlinearities
- Infinitely many positive solutions for a \(p(x)\)-Kirchhoff-type equation
- Overview of differential equations with non-standard growth
- Positive and negative solutions of a class of nonlocal problems
- Multiplicity of solutions for quasilinear elliptic equations in \(\mathbb R^N\)
- Remarks on an elliptic equation of Kirchhoff type
- Asymptotic stability for anisotropic Kirchhoff systems
- Infinitely many solutions for a \(p(x)\)-Laplacian equation in \(\mathbb R^N\)
- Existence of nontrivial solution for a nonlocal elliptic equation with nonlinear boundary condition
- Deformation properties for continuous functionals and critical point theory
- A critical point theory for nonsmooth functionals
- Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
- Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
- Multiplicity of solutions for quasilinear elliptic equations
- On nonlocal \(p(x)\)-Laplacian Dirichlet problems
- Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- On an elliptic equation of p-Kirchhoff type via variational methods
- Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Density of smooth functions in W k, p(x) ( Ω )
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- Some remarks on non local elliptic and parabolic problems
- Flow of shear dependent electrorheological fluids
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Regularity results for a class of functionals with non-standard growth
