Semiclassical analysis for pseudo-relativistic Hartree equations

Silvia Cingolani, Simone Secchi

In this paper we study the semiclassical limit for the pseudo-relativistic Hartree equation $\sqrt{-{\epsilon }^2\Delta +m^2}u+Vu=(I_{\alpha }\ast |u{|}^p)|u{|}^{p-2}u$ in ${\mathbb{R}}^N$ wher…