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Asymptotic Dirichlet problem for harmonic maps on negatively curved manifolds

Title
Asymptotic Dirichlet problem for harmonic maps on negatively curved manifolds
Authors
Kim S.W.Lee Y.H.
Ewha Authors
이용하
SCOPUS Author ID
이용하scopus
Issue Date
2005
Journal Title
Journal of the Korean Mathematical Society
ISSN
0304-9914JCR Link
Citation
vol. 42, no. 3, pp. 543 - 553
Indexed
SCIE; SCOPUS; KCI WOS scopus
Abstract
In this paper, we prove the existence of nonconstant bounded harmonic maps on a Cartan-Hadamard manifold of pinched negative curvature by solving the asymptotic Dirichlet problem. To be precise, given any continuous data f on the boundary at infinity with image within a ball in the normal range, we prove that there exists a unique harmonic map from the manifold into the ball with boundary value f.
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사범대학 > 수학교육과 > Journal papers
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