Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb {R}^{N}\)

DOI10.1007/S12190-016-1023-XzbMath1377.35097OpenAlexW2475141849MaRDI QIDQ1677117

Sofiane Khoutir, Haibo Chen

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-1023-x

zbMATH Keywords

variational methodsNehari methodfourth order Kirchhoff-type equationsleast energy sign-changing solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items (5)

Existence of positive solution for nonlocal singular fourth order Kirchhoff equation with Hardy potential ⋮ Infinitely many high energy solutions for a fourth-order equations of Kirchhoff type in \(\mathbb{R}^N\) ⋮ Existence of nonnegative solutions for fourth order elliptic equations of Kirchhoff type with general subcritical growth ⋮ Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity

Cites Work

• Unnamed Item
• 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
• Positive solutions for a nonlocal fourth order equation of Kirchhoff type
• 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
• 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
• On the Ambrosetti-Rabinowitz Superlinear Condition

This page was built for publication: Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb {R}^{N}\)