靶流形为齐次流形的弱次椭圆Q-调和映射的正则性

Regularity of Subelliptic Q-Harmonic Maps into Homogeneous Manifolds

该文证明了靶流形为齐次流形的弱次椭圆Q-调和映射是内部正则的,这里Q是定义域的齐次维数.这一结果推广了Hajlasz和Strzelecki的相应结果[2].作为推论得到了靶流形为齐次流形的p维p-调和映射的正则性[12].

In this paper, the author proves that weak subelliptic Q-harmonic maps into manifolds with symmetry are regular where Q is the homogeneous dimension of the domain. This generalizes the Hajlasz and Strzelecki＇s results of . 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 .