【摘要】 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。拓广了以往文献所使用的系统范围更多还原

【Abstract】 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.更多还原