The Dirichlet problem at infinity for harmonic map equations arising from constant mean curvature surfaces in the hyperbolic 3-space
The Dirichlet problem at infinity for harmonic map equations arising from constant mean curvature surfaces in the hyperbolic 3-space
复制标题
双曲 3 空间中常平均曲率曲面产生的调和映射方程的无穷远狄利克雷问题
DOI：
10.1007/s005260100109
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发表时间：
2002
影响因子：
2.1
通讯作者：
K. Akutagawa
中科院分区：
文献类型：
--
作者：
R. Aiyama;K. Akutagawa
本文研究了双曲空间到开单位球上具有特定不完全度量的真调和映射在无穷远处的Dirichlet问题的唯一性、存在性和正则性.当m =n=2时，该Dirichlet问题的调和解在三维双曲空间中得到完备的常平均曲率曲面.
The purpose of this paper is to study some uniqueness, existence and regularity properties of the Dirichlet problem at infinity for proper harmonic maps from the hyperbolicm-space to the open unitn-ball with a specific incomplete metric. Whenm=n=2, harmonic solutions of this Dirichlet problem yield complete constant mean curvature surfaces in the hyperbolic 3-space.