On the existence of positive solutions for a quasilinear Schrödinger equation

Haidong Liu, Leiga Zhao

This paper is concerned with the quasilinear Schrödinger equation \begin{equation*} -Δu+V(x)u- Δ(u^2)u =h(u), \ \ \mbox{in} \ \mathbb{R}^N, \end{equation*} where $N\ge 3$. Under a…