一类拟线性椭圆型方程组的正整体解存在的充分必要条件  

Sufficient and necessary conditions for the existence of positive entire solutions of a class of quasilinear 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）》2008年第5期550-556,共7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拟线性椭圆型方程组的正整体解,同时给出该类方程具有无穷多个渐进阶且呈对数增长的正整体解的充分必要条件,并将其加以推广和深化.The existence theorem of symmetric positive entire solution of a class of singular quasilinear elliptic systems is established by Schauder-Tychonoff fixed point theorem and potential theory. Some sufficient and necessary conditions for the existence of infinite positive symmetric entire solutions, whose increase curve is log ｜x｜ （ ｜x｜→∞ ）, are given, and are further applied to some related researches.

关 键 词：椭圆型方程组 正整体解 奇异的 不动点定理 

分 类 号：O155.29[理学—数学] O155.14[理学—基础数学]