Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1434-1441.

• Articles • Previous Articles     Next Articles

Nonexistence Results for a Class of Sub-P-Laplacians

  

  1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310032
  • Received:2007-12-01 Revised:2009-05-25 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    出国留学基金(2003833095)和浙江省教育厅重点项目(Z200803357)资助

Abstract:

The purpose of the present paper is to establish some nonexistence results of nonnegative solutions for the problem

{Lp, k u+f(u)=0, in Ω,
 u|∂Ω=0,
where Ω is a domain (bounded or unbounded) in an H-type group G and 

Lp, k u= divX (|   X u|p-2    X u) is a
sub-P-Laplacian  associated with Greiner type vector fields X.

Key words: Nonexistence, H-type group, Pohozaev-type identity, Sub-P-Laplacian

CLC Number: 

  • 35H99
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