R^N上一类奇异半线性调和方程的正整体解  

The Positive Entire Solutions of Some Class of Singular Semilinear Harmonic Equations in R^N

作　　者：徐建荣[1] 

机构地区：[1]漳州师范学院数学与信息科学系,福建漳州363000

出　　处：《漳州职业技术学院学报》2007年第3期1-4,8,共5页Journal of Zhangzhou Institute of Technology

摘　　要：本文应用上、下解方法在RN(N≥3)上研究了一类奇异半线性调和方程的正整体解的存在性;同时,为了求其上、下解,以Schauder-Tychonoff不动点定理为工具研究相应方程的径向对称解存在性.In the paper, an existence theorem of positive entire solution of a class of singular semilinear harmonic equations in RN is established by utilizing supersolution-subsolution method. At the same time, to obtain the disired supersolutions and subsolution, the existence of radially symmetric solutions for the responding equations is also studied by means of Schauder-Tychonoff fixed point theorem.

关 键 词：正整体解 非径向对称 奇异 不动点定理 

分 类 号：O155.29[理学—数学] O155.14[理学—基础数学]