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Quantitative gradient estimates for harmonic maps into singular spaces

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 نشر من قبل Hui-Chun Zhang
 تاريخ النشر 2017
  مجال البحث
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In this paper, we will show the Yaus gradient estimate for harmonic maps into a metric space $(X,d_X)$ with curvature bounded above by a constant $kappa$, $kappageq0$, in the sense of Alexandrov. As a direct application, it gives some Liouville theorems for such harmonic maps. This extends the works of S. Y. Cheng [4] and H. I. Choi [5] to harmonic maps into singular spaces.



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