Chinese Quarterly Journal of Mathematics ›› 1998, Vol. 13 ›› Issue (3): 52-58.

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Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group

  

  1. Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an,710072,; Department of Mathematics,Henan University,Kaifeng 475001

  • Received:1997-07-16 Online:1998-09-30 Published:2024-10-23
  • Supported by:
    This work was supported by Hangkong Gaodeng Yuanxiao Zixuan Keyan Keti at Northwestern Polytechnical University.

Abstract: We consider the semilinear subelliptic Laplace equation -Δ Hn u=u p+f(x,u) in Ω,u>0 in Ω,u=0 on Ω . Under suitable assumptions on f and p ,some existence and nonexistence results are obtained. 

Key words:  , subelliptic Laplacian, existence, exponent

CLC Number: