Laplacian型算子的非合作椭圆系统的正解

A Noncooperative Elliptic System with Laplacians That Preserves Positivity

运用强最大值原理及 Schauder不动点定理 ,研究含有小参数的、更具一般性的具有 Laplacian型算子的非合作椭圆系统。并在一定条件下 ,得到了所给系统的正解存在性。

Strongly maximum principles and Schauder fixed point theorem are used to study the positivity preserving property of the nonlinear noncooperative elliptic system with Laplacians having small parameters. The results concerning the existence of positive solution are obtained under some reasonable conditions. The results extend further the range of application as given in articles.