一类反应扩散问题正解的存在性及渐近性态

Existence and Behaviour of Positive Solutions for a Class of Reaction-Diffusion Problem

本文讨论ｕｔ－△ｕ＝－ｈ２ｇ（ｕ）在Ｒｕｂｉｎ边值条件下初边值问题正解的存在性与Ｔｈｉｅｌｅ模量ｈ间的关系，这里ｇ（ｕ）～ｕ－ｐ（Ｐ∈（０，１））；同时考察当ｔ→＋∞时其正解与相应椭园方程之正解的关系．

In this paper,the existence of positive solutions for the following singular problem (P)is investigated, where g (u)～u-p, p∈(0, 1), and we will prove that the solution of (P) will tend to a solution of the problem