کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4668991 | 1633900 | 2011 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A stochastic approach to a priori estimates and Liouville theorems for harmonic maps
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A stochastic approach to a priori estimates and Liouville theorems for harmonic maps A stochastic approach to a priori estimates and Liouville theorems for harmonic maps](/preview/png/4668991.png)
چکیده انگلیسی
Nonlinear versions of Bismut type formulas for the differential of a harmonic map between Riemannian manifolds are used to establish a priori estimates for harmonic maps. A variety of Liouville type theorems is shown to follow as corollaries from such estimates by exhausting the domain through an increasing sequence of geodesic balls. This probabilistic method is well suited for proving sharp estimates under various curvature conditions. We discuss Liouville theorems for harmonic maps under the following conditions: small image, sublinear growth, non-positively curved targets, generalized bounded dilatation, Liouville manifolds as domains, certain asymptotic behaviour.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Bulletin des Sciences Mathématiques - Volume 135, Issues 6–7, September–November 2011, Pages 816-843
Journal: Bulletin des Sciences Mathématiques - Volume 135, Issues 6–7, September–November 2011, Pages 816-843