一类具有变号位势的超二次Kirchhoff方程解的多重性

Multiplicity of Solutions for Super-Quadratic Kirchhoff Type Equations with Sign-Changing Potential

本文研究一类全空间上的Kirchhoff型方程.当非线性项是凹凸混合项且f在无穷远处满足超二次增长时,利用变分方法获得方程解的多重性结果,改进和推广了相关文献中的结论.

In this paper, we consider the Kirchhoff type equation on the whole space. When the nonlinearity involves a combination of convex and concave terms and f satisfies super-quadratic growth at infinity, multiplicity of nontrivial solutions to this problem are obtained via variational methods. Our results improves and generalizes that obtained in the literature.