Divergence for the threshold solutions to the focusing Choquard equation

In this paper, we consider the nonlinear Choquard equation with $ L^{2} $-supercritical and $ H^1 $-subcritical nonlinearity. Zhou [32] studied the global dynamics of the solutions with the same mass and energy as that of the ground state. In that paper, finite variance (or radial with restriction on parameters) is assumed to show the finite time blow-up. Here, we remove the finite-variance assumption and prove a blow-up or grow-up result by using a concentration compactness and rigidity argument and modulation analysis.