Abstract
In this paper, we consider the inhomogeneous fractional Hartree equation in mass-critical case. First, we prove the existence of the ground states by studying the related constrained minimization problem. When the mass of initial data is larger than the mass of the ground states, we construct a sequence of blow-up solutions whose initial data converge to the ground states. Moreover, we show the mass concentration phenomenon of the blow-up solutions via applying the concentration-compactness principle.
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