Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity
From MaRDI portal
Publication:6142017
DOI10.1002/mma.8645zbMath1529.35179OpenAlexW4293226456MaRDI QIDQ6142017
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8645
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Quasilinear elliptic equations (35J62)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
- Existence and concentration of solutions for a class of biharmonic equations
- Existence and multiplicity of solutions for a class of fourth-order elliptic equations in \(R^N\)
- Existence of a nontrivial solution for a class of hemivariational inequality problems at double resonance
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Variational and non-variational methods in nonlinear analysis and boundary value problems
- Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
- Bounded state solutions of Kirchhoff type problems with a critical exponent in high dimension
- Multiple solutions of constant sign for nonlinear nonsmooth eigenvalue problems near resonance
- Existence and nonexistence of nontrivial solutions for critical biharmonic equations
- Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent
- Existence of solutions for $p$-Kirchhoff problem of Brézis-Nirenberg type with singular terms
- Existence of radial solutions for a \(p(x)\)-Laplacian Dirichlet problem
- A sequence of radially symmetric weak solutions for some nonlocal elliptic problem in \(\mathbb{R}^N\)
- Existence of solutions for Dirichlet elliptic problems with discontinuous nonlinearity
- Existence and multiplicity of nontrivial solutions of biharmonic equations via differential inclusion
- Multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
- A fourth order singular elliptic problem involving \(p\)-biharmonic operator
- Initial-boundary value problems for an extensible beam
- Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical growth in ℝN
- Multiplicity of solutions for critical Kirchhoff type equations
- Optimization and nonsmooth analysis
- Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions
- GROUND STATE AND NODAL SOLUTIONS FOR A CLASS OF BIHARMONIC EQUATIONS WITH SINGULAR POTENTIALS
- A variational approach to discontinuous problems with critical Sobolev exponents