Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (6): 799-805.

• Articles • Previous Articles     Next Articles

Regularity of Subelliptic Q Harmonic Maps into Homogeneous Manifolds

 ZHOU Zhen-Rong   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    国家自然科学基金(10371047、10571068)资助

Abstract:

In this paper, the author  proves that weak subelliptic Q harmonic maps int o manifolds with symmetry are regular where Q is the homogeneous dimension of the domain. This  generalizes the Hajlasz and Strzelecki's results of [2]. As a consequence, the  author   obtains the regularity of  pharmonic maps from p dimensional manifolds  into homogeneous spaces, which is proved by T.Toro and C.Wang in [12].

Key words: Subelliptic; , Manifold with symmetry, Homogeneous di mension

CLC Number: 

  • 58E20
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