Existence and concentration of nontrivial solutions for quasilinear Schrödinger equation with indefinite potential

Lifeng Yin, Xiaoqi Liu, Yongyong Li

This paper is concerned with the quasilinear Schrödinger equation \begin{align*} -Δu+V(x)u+\frac{k}{2}Δ(u^2)u=f(u)\quad \text{in}~~\mathbb{R}^N\text{,} \end{align*} where $N\geq…