Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb R^N\)
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Publication:504351
DOI10.1016/j.ajmsc.2016.06.003zbMath1357.35115OpenAlexW2465319434MaRDI QIDQ504351
Publication date: 16 January 2017
Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ajmsc.2016.06.003
Nehari methodground state solutionfourth order Kirchhoff-type equationsleast energy sign-changing solution
Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)
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Cites Work
- Unnamed Item
- Existence and multiplicity of nontrivial solutions for a class of modified nonlinear fourth-order elliptic equations on \(\mathbb{R}^N\)
- Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory
- Multiplicity results for fourth order elliptic equations of Kirchhoff-type
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Positive solutions for a nonlocal fourth order equation of Kirchhoff type
- On a class of nonlinear Schrödinger equations
- Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
- Existence results for a model of nonlinear beam on elastic bearings
- Minimax theorems
- Existence of solutions for fourth order elliptic equations of Kirchhoff type
- Nehari-type ground state solutions for Schrödinger equations including critical exponent
- On a class of Kirchhoff type problems
- Bending and stretching energies in a rectangular plate modeling suspension bridges
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- Initial-boundary value problems for an extensible beam
- GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS
- New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Existence and multiplicity results for some superlinear elliptic problems on RN