一类在R^2上的半线性椭圆型方程正的整体解  

The Positive Entire Solutions Of a Class Of Semilinear Elliptic Equations In R^2

作　　者：叶常青[1] 

机构地区：[1]漳州师院数学系,福建漳州363000

出　　处：《漳州师范学院学报（自然科学版）》2005年第3期16-22,共7页Journal of ZhangZhou Teachers College（Natural Science)

基　　金：漳州师范学院科研基金资助项目(SK03004)

摘　　要：本文以Schauder—Tychnonff不动点定理为工具,应用上,下解的方法研究一类在R2上的半线性椭圆型方程正的整体解的存在性及解在无穷远的性质,推广了[1]的理论和应用.his paper with the Schauder--Tychonoff fixed point theorem as the principal tool, make use of the supersolutionubsolution methed studies the existence of positive solutions of a class of semilinear elliptic equations and the properties of the solutions as infinity in R^2, popularize the theory and application of [1].

关 键 词：正的整体解 局部H?lder连续 闭凸子集 不动点定理 

分 类 号：O175.25[理学—数学]