摘要
考虑Lane-Emden方程组正稳定解的不存在性,利用椭圆方法及Farina关于JosephLundgren指标的推导技巧,得到一个一般稳定解的Liouville定理,从而将对单个方程稳定解的研究扩充到对方程组的研究.
The author considered the nonexistence of positive stable solutions of the Lane-Emden systems.By using elliptic methods and derivation techniques of Farina on the Joseph-Lundgren index,the author obtained a Liouville theorem about general stable solutions,and extended the study of a stable solution of a single equation to the study of equations.
作者
章芳芳
ZHANG Fangfang(School of Mathematics Science, Nanjing Normal University, Nanjing 210023, China)
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2017年第2期297-300,共4页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11471164)
