一类椭圆型方程组的刘维尔定理

A Liouville Theorem for A Class of Elliptic Systems

本文利用Ｍｏｖｉｎｇ ｐｌａｎｅｓ方法证明了半线性椭圆型方程组在一定条件下不存在非平凡解，从而使相应的一般区域上正解的存在性问题有了更好的结果．

In this paper.by the Moving Planes method,we prove the non existence of nontrivial solution for semilinear systems under some conditions.Then the existence of positive solutions of the system in a general domain obtains a better result.