Global existence and finite time blow-up of the solution for a thin-film equation with high initial energy

This paper is devoted to the study of a thin-film equation, which was considered extensively in recent years. We obtain the conditions for global existence and finite time blow-up of solution for the high initial energy case, i.e., J(u0)>d, while the previous works only considered the case J(u0)≤d, here d is the mountain pass level. Moreover, for the blow-up solution with J(u0)