中文摘要：

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.

英文摘要：

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.