一类高维非线性椭圆型方程正整解的存在性  

The Existence of Positive Entire Solutions for a Class of Higher Dimensions Nonlinear Elliptic Equations

作　　者：许兴业[1] 

机构地区：[1]广东教育学院数学系,广东广州510303

出　　处：《广东教育学院学报》2008年第5期31-35,共5页Journal of Guangdong Education Institute

基　　金：全国教育科学"十五"规划基金资助项目(FCB030794);广东教育学院教授博士专项经费资助项目

摘　　要：以Shauder-Tychonoff不动点定理为工具,建立一类高维非线性椭圆型方程Δu=f(x,Δu)uγ(x∈Rn,n≥3,0<γ<1)正的整体解的存在性定理,并给出了解的有关性质.In this paper, our aim is to establish the theorems of existence of positive entire solutions for a class of higher dimensions nonlinear elliptic equations △u= f（x, △↓u） u^y （x ∈ R^n, n=3,0〈y〈1） with the Schauder-tychonoff fixed point theorem as the principal and the related properties of the solutions were obtained.

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]