一类平面上非线性椭圆型方程正整解的存在性  

The Existence and Properties of Positive Entire Solutions for a Class of Nonlinear Elliptic Equations in Plane

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：《广东第二师范学院学报》2015年第3期32-37,共6页Journal of Guangdong University of Education

摘　　要：建立一类非线性椭圆型方程Δu=f(x,u,"u)uβ,(x∈R2,0<β<1)正整解存在性定理,并给出解的有关性质.In this paper, our aim is to establish the theorems of existence of positive entire solutions for a class of nonlinear elliptic equations △u=f（x,u, u）uβ,（x∈R^2,0〈β〈1）,and present the properties of the solutions.

关 键 词：椭圆型方程 正整解 上解 下解 连续映照 不动点定理 

分 类 号：O175.25[理学—数学]