Title: Existence of solutions for a semirelativistic Hartree equation with unbounded potentials,
Abstract: We prove the existence of a solution to the semirelativistic Hartree equation
$$\sqrt{-\Delta+m^2}u+ V(x) u = A(x)\left( W * |u|^p \right) |u|^{p-2}u $$
under suitable growth assumption on the potential functions $V$ and $A$. In
particular, both can be unbounded from above.