Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency

Carlo Mercuri, Vitaly Moroz, Jean Van Schaftingen

We study the nonlocal Schrödinger-Poisson-Slater type equation $$-\Delta u+(I_{\alpha }\ast |u{|}^p)|u{|}^{p-2}u=|u{|}^{q-2}u\text{in RN,}$$ where $N\in \mathbb{N}$, $p>1$,…