中文摘要：

利用能量泛函的方法，研究了方程ut-div（｜ u｜^p（x）-2 u）=f（u）（x∈Ω，t〉0）在正初始能量下解的爆破问题。在对f的增长阶等条件作了一定的限制情况下，证明了该方程的能量泛函在时间t＊处趋于无穷，因此，方程的解在有限时间内爆破。

英文摘要：

The problem ut - div（ ｜ u｜^p（x）-2 u） = f（u） with the method of energy functional was considered. A blow-up result for certain solution with positive initial energy was established. If some restrictions of the growth order of f are imposed, it was proved that equation of the energy functional in time t ＊ tends to infinity, so the solution blow-up in a limited time.