关于一类椭圆耦合系统的正解  

On a Positive Solution for a Class of Elliptic Coupled System

作　　者：吉蕾[1] 

机构地区：[1]晋中学院,山西晋中030600

出　　处：《忻州师范学院学报》2013年第5期3-5,共3页Journal of Xinzhou Teachers University

摘　　要：自建立了研究吊桥的数学模型之后,四阶微分方程备受人们的关注。文章对一类二阶和四阶椭圆型方程耦合系统进行了研究,利用山路引理和极大值原理,得到了其正解的一个存在性结果。Fourth-order differential equations have been widely noticed after the establishment of the mathematical model of the suspension bridge.The article does some research summary on a coupled system of second and fourth order elliptic equations,using the mountain pass theorem and maximum principle,the existence result of positive solution for the coupled system is obtained.

关 键 词：椭圆型方程 耦合系统 山路引理 极大值原理 正解 

分 类 号：O175[理学—数学]