摘要
本文研究了与拉回度量相关的广义泛函Φf.利用f-应力能力张量的方法,得到f-稳态映射的单调公式,消灭定理以及常Dirichlet边值问题在星型区域上的唯一常值解.
In this paper, we investigate a generalized functional Of related to the pullback metric. By using the method of f-stress energy tensor, we obtain the monotonicity formulas, vanishing theorems and the unique constant solution of the constant Dirichlet boundary value problem on some starlike domain for f-stationary maps.
出处
《数学杂志》
CSCD
北大核心
2015年第3期486-498,共13页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(10971029
11201400
11026062)
Project of Henan Provincial Department of Education(2011A110015)
Talent Youth Teacher Fund of Xinyang Normal University
关键词
f-稳态映射
f-应力能量张量
单调公式
消灭定理
f-stationary map
f-stress-energy tensor
monotonicity formula
vanishing the-orems
