一类奇异非线形多调和方程组的正整体解  

Positive entire solutions for a class of singular nonlinear poly-harmonic systems

作　　者：许建艺[1] 

机构地区：[1]漳州职业技术学院基础部,福建漳州363000

出　　处：《闽西职业技术学院学报》2013年第2期104-108,共5页Journal of Minxi Vocational and Technical College

摘　　要：以Schauder-Tychonoff不动点定理为理论依据,研究了形如△nuj=fj(︱x︱,u1,u2,︱▽u1︱,︱▽u2︱)uj-αj,αj>0,x∈R2,j=1,2的奇异非线性多调和方程组在R2上正的整体解,给出了存在无穷多个在无穷远点满足指定的渐进性质的整体解的充分条件。Based on Schauder-Tychonoff fixed point theorem, this paper studies positive entire solutions for two singular nonlinear poly-harmonic systems with the following form △nuj=fj（｜x｜,u1,u2,｜ u1｜,｜ u2｜）uj-oj,αj〉0,x∈R2,j=1,2. And some sufficient conditions for infinitely many positive entire solutions satisfying appointed asymptotic properties in infinite point are obtained.

关 键 词：非线性多调和方程组 奇异 正整体解 不动点定理 

分 类 号：O175.2[理学—数学]