华东师范大学学报(自然科学版) ›› 2004, Vol. 2004 ›› Issue (2): 19-23.

• 数学 统计学 • 上一篇    下一篇

P-调和映照的能量增长性质(英)

刘建成1， 廖蔡生2

  

  1. 1. 西北师范大学 数学与信息科学学院，兰州 730070; 2. 华东师范大学 数学系，上海 200062
  • 收稿日期:2002-06-04 修回日期:2003-09-12 出版日期:2004-06-25 发布日期:2004-06-25
  • 通讯作者: 刘建成

The Energy Growth Property for p-Harmonic Maps

LIU Jian-cheng1, LIAO Cai-sheng2   

  1. 1. College of Mathematics & Information Science, Northwest Normal University, Lanzhou 730070, China;2. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2002-06-04 Revised:2003-09-12 Online:2004-06-25 Published:2004-06-25
  • Contact: LIU Jian-cheng

摘要：

主要研究了一大类p-调和映照的p-能量增长性质，利用黎曼几何中Hessian比较定理，得到了关于p-能量增长的特殊估计.

关键词: p-调和映照, p-能量密度, p-应力-能量张量, p-调和映照, p-能量密度, p-应力-能量张量

Abstract: In this paper, we study the p-energy growth property for a large class of p-harmonic maps. Using Hessian comparison theorem in Riemannian geometry, we obtain the special estimation of p-energy growth.

Key words: p-energy density, p-stress-energy tensor, p-harmonic maps, p-energy density, p-stress-energy tensor

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