Ground and bound states for a static Schrodinger-Poisson-Slater problem

Isabella Ianni, David Ruiz

In this paper the following version of the Schrodinger-Poisson-Slater problem is studied: $$-\Delta u+(u^2\star \frac{1}{|4\pi x|})u=\mu |u{|}^{p-1}u,$$ where $u:{\mathbb{R}}^3\to \mathbb{R}$ and $\mu >0$.…