关于具吸收项的P—Laplacian方程的Cauchy问题

On the Cauchy Problem of p-Laplacian Equation with Absorption

本文讨论了具有吸收项的ｐ—Ｌａｐｌａｃｉａｎ方程的Ｃａｕｃｈｙ问题。通过对正则化问题解的先验估计，证明了当初值μ∈Ｌ（ＲＮ）时，解存在的充分条件是ｑ＞ｐ—１。

In this paper,we prove the existence of solution of the Cauchy problem of p -Laplacian equation with absorption. The effect shows that when μ∈L(RN) to guarantee (1) (2) having a solution, it need only q>p-1.