The Dirichlet problem at infinity for harmonic map equations arising from constant mean curvature surfaces in the hyperbolic 3-space |
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| Authors: | R. Aiyama K. Akutagawa |
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| Affiliation: | (1) Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan (e-mail: aiyama@sakura.cc.tsukuba.ac.jp) , JP;(2) Department of Mathematics, Shizuoka University, Shizuoka 422-8529, Japan (e-mail: smkacta@ipc.shizuoka.ac.jp) , JP |
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| Abstract: | 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 hyperbolic m-space to the open unit n-ball with a specific incomplete metric. When m=n=2, harmonic solutions of this Dirichlet problem yield complete constant mean curvature surfaces in the hyperbolic 3-space. Received: 25 January 2001 / Accepted: 23 February 2001 / Published online: 25 June 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 58E20 53C42 |
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