吉林大学学报(理学版)
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章芳芳
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ZHANG Fangfang
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摘要： 考虑LaneEmden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.
关键词: 稳定解, Lane-Emden方程组, Liouville定理
Abstract: The author considered the nonexistence of positive stable solutions of the LaneEmden systems. By using elliptic methods and derivation techniques of Farina on the JosephLundgren 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.
Key words: stable solution, Liouville theorem, Lane-Emden system
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章芳芳. Lane-Emden方程组稳定解的Liouville定理[J]. 吉林大学学报(理学版), 2017, 55(02): 297-300.
ZHANG Fangfang. Liouville Theorem of Stable Solutions of LaneEmden Systems[J]. Journal of Jilin University Science Edition, 2017, 55(02): 297-300.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2017/V55/I02/297
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