The Dirichlet problem for harmonic maps between Damek-Ricci spaces

被引:4
作者
Ueno, K [1 ]
机构
[1] Yamagata Univ, Fac Sci, Inst Math Sci, Yamagata 990, Japan
关键词
D O I
10.2748/tmj/1178225062
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A Damek-Ricci space has nonpositive curvature. Thus we can consider the Eberlein-O'Neill compactifications adding the sphere at infinity. In this paper, we prove the existence and uniqueness of a solution to the Dirichlet problem at infinity for harmonic maps between Damek-Ricci spaces.
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页码:565 / 575
页数:11
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