Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (4): 639-648.

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Liouville Type Theorems of Solutions for the Nonlinear Hénon Equations

Hu Lianggen   

  1. Department of Mathematics, Ningbo University, Zhejiang Ningbo 315211
  • Received:2015-11-30 Revised:2016-05-04 Online:2016-08-26 Published:2016-08-26
  • Supported by:

    Supported by the NSFC(11201248)and Ningbo Natural Science Foundation(2014A610027)

Abstract:

In this paper, Liouville theorem of finite Morse index solutions for the second order and fourth order nonlinear Hénon-Lane-Emden equations is considered. Adopting a new method, i.e., the monotonicity formula, Pohozaev identity combining with doubling lemma, the main results is proved.

Key words: Finite Morse index solution, Monotonicity formula, Liouville theorem, Doubling lemma, Pohozaev identity

CLC Number: 

  • O175.25
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