Journal of Jilin University Science Edition

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Liouville Theorem of Stable Solutions of LaneEmden Systems

ZHANG Fangfang   

  1. School of Mathematics Science, Nanjing Normal University, Nanjing 210023, China
  • Received:2016-04-29 Online:2017-03-26 Published:2017-03-24
  • Contact: ZHANG Fangfang E-mail:fangfang090603@163.com

Abstract: 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.

Key words: stable solution, Liouville theorem, Lane-Emden system

CLC Number: 

  • O175.25