Standing waves for nonlinear Hartree type equations: existence and qualitative properties

Eduardo de Souza Böer, Ederson Moreira dos Santos

We consider systems of the form \[ \left\{ \begin{array}{l} -Δu + u = \frac{2p}{p+q}(I_α\ast |v|^{q})|u|^{p-2}u \ \ \textrm{ in } \mathbb{R}^N, \\ -Δv + v = \frac{2q}{p+q}(I_α\ast…