一类拟线性椭圆型方程div(|Du|^(p-2)Du)=f(x,u,Du)的有界正整解  

Quasilinear Elliptic Equations Such as divdiv(|Du|^(p-2)Du)=f(x,u,Du)

作　　者：许兴业[1] 

机构地区：[1]广东外语外贸大学南国商学院公共课教学部,广东广州510545

出　　处：《惠州学院学报》2016年第6期14-18,共5页Journal of Huizhou University

基　　金：广东外语外贸大学南国商学院校级科研重点课题资助(16-005A)

摘　　要：以Schauder-Tychonoff不动点定理为工具;研究一类形如div(|Du|^(p-2)Du)=f(x,u,Du)的拟线性椭圆型方程正的有界整体问题;得到了2个有界正整解的存在性定理.In this paper we study the problem of bounded positive entire solutions of a class of the quasilinear elliptic equations such as with the Schauder -Tychonoff fixed point theorem as the principal tool and have attained two theorems of existence bounded positive entire solutions.

关 键 词：拟线性椭圆型方程 有界正整解 LEBESGUE控制收敛定理 闭凸子集 连续映照 不动点定理 

分 类 号：O175.25[理学—数学]