Nonlinear Schrödinger equations with a critical, inverse-square potential

Bartosz Bieganowski, Adam Konysz, Simone Secchi

We study the existence of solutions of the following nonlinear Schrödinger equation $$-\Delta u+V(x)u-\frac{(N-2{)}^2}{4|x{|}^2}u=f(x,u)$$ where $V:{\mathbb{R}}^N\to \mathbb{R}$ and $f:\mathb…