On a class of mixed Choquard-Schrödinger-Poisson system

Marius Ghergu, Gurpreet Singh

We study the system $$ \left\{ -Δu+u+K(x) ϕ|u|^{q-2}u&=(I_α*|u|^p)|u|^{p-2}u &&\mbox{ in }{\mathbb R}^N, -Δϕ&=K(x)|u|^q&&\mbox{ in }{\mathbb R}^N, \right. $$ where $N\ge 3$, $α\in…