关于一类四阶椭圆方程组正解存在性的思考

On the Existence of A Class of Positive Solutions for Fourth-order Elliptic System

区别于常用方法对耦技巧与极小极大定理,利用Leray-Schauder度理论与强极大值定理,同时构造合适函数讨论在空间E×E=(H2(Ω)∩H01(Ω))×(H2(Ω)∩H01(Ω))中一类四阶椭圆方程组正解的存在性问题.

This paper discusses the existence of a class of positive solutions for fourth-order elliptic system in space E×E=（H2（Ω）∩H0 1（Ω））×（H2（Ω）∩（H0 1（Ω））by using Leray-Schauder degree theory and strong maximum principle and constructing proper function instead of using coupling method and minimax theorem.