Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 810-822.

• Articles • Previous Articles     Next Articles

Uniqueness of the One-bubbling Solution for a Neumann Problem Involving the Critical Sobolev Exponent

  

  1. (Department\ of\ Mathematics, Huazhong |Normal University, Wuhan |430079|Department of Mathematics, Kashi |Teachers College, Xinjiang Kashi 844007)
  • Received:2007-12-11 Revised:2009-04-13 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学基金(10471052)资助

Abstract:

In this paper, we consider a class of  Neumann problem involving critical Sobolev exponents. The uniqueness is established by using Pohozaev identity and some estimates.

Key words: uniqueness, critical Sobolev exponents, one-bubbling solutions, Pohozaev identity

CLC Number: 

  • 35J25
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