关于奇异半线性椭圆型方程组的正整体解的存在性  

Existence of positive entire solutions of singular semilinear elliptic systems

作　　者：徐建荣[1] 

机构地区：[1]福建农林大学计算机与信息学院,福建福州350002

出　　处：《福建农林大学学报（自然科学版）》2007年第6期664-667,共4页Journal of Fujian Agriculture and Forestry University:Natural Science Edition

基　　金：福建农林大学青年教师科研基金资助项目(05B40)

摘　　要：运用Schauder-Tychonoff不动点定理和位势理论研究一类奇异半线性椭圆型方程组的正整体解,给出该类方程组具有无穷多个正整体解的若干充分条件以及整体解在无穷远处的渐近性质,并将相关研究加以推广和加深.The positive entire solutions of a class of singular semilinear elliptic systems were established by using the Schauder- Tychonoff fixed point theorem and potential theory, some sufficient conditions for these systems to have infinite positive entire solutions with the prescribed asymptotic behaviors at infinity were given. Some relative results of the theorem were further obtained.

关 键 词：正整体解 椭圆型方程 不动点定理 

分 类 号：O155.29[理学—数学] O155.14[理学—基础数学]