  In this paper, we study the following class of nonlinear Choquard equation,
$$-\Delta u+a(z)u=K(u)f(u)\quad \text{in}\quad \R^N,$$ where
$\R^N=\R^L\times\R^M$, $L\geq2$, $K(u)=|.|^{-\gamma}*F(u)$, $\gamma\in(0,N)$,
$a$ is a continuous real function and $F$ is the primitive function of $f$.
Under some suitable assumptions mixed on the potential $a$. We prove existence
of a nontrivial solution for the above equation.
