Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials

Qianqiao Guo, Jarosław Mederski

We study the existence of solutions of the following nonlinear Schrödinger equation \begin{equation*} -Δu + \Big(V(x)-\fracμ{|x|^2}\Big) u = f(x,u) \hbox{ for } x\in\mathbb{R}^N\se…