A note on the mass-critical inhomogeneous generalized Hartree equation

The objective of this study is to investigate the inhomogeneous nonlinear generalized Hartree equation within the mass-critical regime. Precisely, we give a threshold of global existence versus blow-up of energy solutions depending on the size of the mass compared with the $L^{2}$ norm of the associated ground state. This complements the existing literature to the case of a non-local source term.