Existence and multiplicity of bound state solutions to a Kirchhoff type equation with a general nonlinearity

Zhisu Liu, Haijun Luo, Jianjun Zhang

In this paper, we consider the following Kirchhoff type equation $$-\left(a+b{\int }_{{\mathbb{R}}^3}|\nabla u{|}^2\right)△u+V(x)u=f(u),x\in {\mathbb{R}}^3,$$ where $a,b>0$ and $f\in C(\R,…