Choquard Equations with Mixed Potential

Marco A. S. Souto, Romildo N. de Lima

In this paper, we study the following class of nonlinear Choquard equation, $$-\Delta u+a(z)u=K(u)f(u)\text{in}{\mathbb{R}}^N,$$ where ${\mathbb{R}}^N={\mathbb{R}}^L\times {\mathbb{R}}^M$, $L\ge 2$, $K(u)=|.|^{-γ}*F…