Liouville Theorems for F-Harmonic Maps and Their Applications

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• 作者：Yuxin Dong ; Hezi Lin ; Guilin Yang
• 关键词：Primary 35B53 ; 58Z05 ; 53C43 ; Complete Riemannian manifold ; F ; harmonic map ; Liouville theorem
• 刊名：Results in Mathematics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：69
• 期：1-2
• 页码：105-127
• 全文大小：595 KB
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• 作者单位：Yuxin Dong (1)
  Hezi Lin (2)
  Guilin Yang (3)
  
  1. School of Mathematical Sciences and Laboratory of Mathematics, for Nonlinear Science, Fudan University, Shanghai, 200433, China
  2. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350108, China
  3. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-9012

文摘

We prove several Liouville theorems for F-harmonic maps from some complete Riemannian manifolds by assuming some conditions on the Hessian of the distance function, the degrees of F(t) and the asymptotic behavior of the maps at infinity. In particular, the results can be applied to F-harmonic maps from some pinched manifolds, and can deduce a Bernstein type result for an entire minimal graph. Mathematics Subject Classification Primary 35B53 58Z05 53C43