Combined effects of concave-convex nonlinearities in a fourth-order problem with variable exponent
From MaRDI portal
Publication:301981
DOI10.1515/ans-2015-5032zbMath1343.35091OpenAlexW2325487706MaRDI QIDQ301981
Sami Baraket, Vicenţiu D. Rădulescu
Publication date: 4 July 2016
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2015-5032
Dirichlet boundary conditionEkeland variational principlevariable exponentnonhomogeneous elliptic problem
Boundary value problems for higher-order elliptic equations (35J40) Variational principles in infinite-dimensional spaces (58E30) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35)
Related Items
Existence of multiple solutions for a fourth-order problem with variable exponent ⋮ On a p⋅-biharmonic problem of Kirchhoff type involving critical growth ⋮ Solving the singular two-dimensional fourth order problem by the mortar spectral element method ⋮ Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems ⋮ On a \(p(x)\)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition ⋮ On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ On a \(p(x)\)-biharmonic problem with singular weights ⋮ On the existence of solutions of a nonlocal biharmonic problem ⋮ Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions ⋮ Multiplicity results for perturbed fourth-order Kirchhoff-type problems ⋮ New class of sixth-order nonhomogeneous \(p(x)\)-Kirchhoff problems with sign-changing weight functions ⋮ For a class of \(p(x)\)-biharmonic operators with weights ⋮ On the multiplicity of solutions for a kind of fourth-order equation depending on two real parameters ⋮ Unnamed Item ⋮ Exponential decay of solutions to a class of fourth-order nonlinear hyperbolic equations modeling the oscillations of suspension bridges
Cites Work
- Unnamed Item
- Unnamed Item
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Multiple solutions of an even-order nonlinear problem with convex-concave nonlinearity
- Lebesgue and Sobolev spaces with variable exponents
- Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
- Combined effects in nonlinear problems arising in the study of anisotropic continuous media
- Solutions of nonlinear problems involving \(p(x)\)-Laplacian operator
- Extensions of the mountain pass theorem
- A mountain pass theorem
- Combined effects of concave and convex nonlinearities in some elliptic problems
- On the variational principle
- Dual variational methods in critical point theory and applications
- Nonlinear elliptic equations with variable exponent: old and new
- Existence of entire solutions for a class of variable exponent elliptic equations
- Lusternik-Schnirelman theory on Banach manifolds
- Existence results for nonlinear elliptic problems on fractal domains
- On the existence of stationary solutions for higher-order p-Kirchhoff problems
- Stationary waves of Schrödinger-type equations with variable exponent
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Remarks on finding critical points
- Existence Results For Inequality Problems
- Partial Differential Equations with Variable Exponents
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
- Multiple solutions for elliptic equations involving a general operator in divergence form
- Eigenvalues for a fourth order elliptic problem
- A generalized Morse theory
- A nonsmooth critical point theory approach to some nonlinear elliptic equations in \({\mathbb R}^n\)
