中文摘要：

该文研究具临界初始能量的非牛顿渗流方程的初边值问题.通过构建新的位势井及其井外集合并证明它们的不变性,得到了解的整体存在性与有限时间爆破.

英文摘要：

This paper is concerned with the initial boundary value problem of non-Newtonian filtration equations at critical initial energy level. We first construct a new potential well and its outside set, and prove their invariance. Furthermore, the global existence and finite time blow-up of solutions are obtained.