Harmonic maps with singular boundary value from complex hyperbolic spaces into rank one symmetric spaces |
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| Authors: | Yuguang Shi You-De Wang |
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| Affiliation: | (1) Department of Mathematics, Beijing University, Beijing, 100871, People's Republic of China (e-mail: ygshi@sxx0.math.pku.edu.cn) , CN;(2) Institute of Mathematics, Academia Sinica, Beijing, People's Republic of China , CN |
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| Abstract: | In this paper we consider the Dirichlet problem at infinity of proper harmonic maps from noncompact complex hyperbolic space to a rank one symmetric space N of noncompact type with singular boundary data . Under some conditions on f, we show that the Dirichlet problem at infinity admits a harmonic map which assumes the boundary data f continuously. Received: March 11, 1999 / Accepted April 23, 1999 |
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| Keywords: | Mathematics Subject Classification (1991):58E20 53E35 |
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