Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (2): 278-286.

Previous Articles     Next Articles

An Application of the Method of Moving Sphere in the Heisenberg Group——Liouville Type Theorem of a Class of Semilinear Equations

Zhang Shutao, Han Yazhou   

  1. Department of Mathematics, College of Science, China Jiliang University, Hangzhou 310018
  • Received:2016-07-26 Revised:2017-01-15 Online:2017-04-26 Published:2017-04-26
  • Supported by:
    Supported by the NSFC (11201443) and the Natural Science Foundation of Zhejiang Province (LY16A010009)

Abstract: Firstly, a class of CR inversion in the Heisenberg group was introduced. This is the foundation of the method of moving sphere. As an application, we discussed a class of subcritical equations in the Heisenberg group and obtained the nonexistence of positive solutions with cylindrical symmetry.

Key words: Method of moving sphere, Heisenberg group, Liouville type theorem, Semilinear equation

CLC Number: 

  • O175.2
Trendmd