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OALib Journal期刊
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Regularity of Subelliptic Q Harmonic Maps into Homogeneous Manifolds
靶流形为齐次流形的弱次椭圆Q调和映射的正则性

Keywords: Subelliptic,Manifold with symmetry,Homogeneous dimension
次椭圆
,对称流形,齐次维数,映射,正则性

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Abstract:

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 .

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