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Royden Decomposition for Harmonic Maps with Finite Total Energy

Title
Royden Decomposition for Harmonic Maps with Finite Total Energy
Authors
Lee, Yong Hah
Ewha Authors
이용하
SCOPUS Author ID
이용하scopus
Issue Date
2017
Journal Title
RESULTS IN MATHEMATICS
ISSN
1422-6383JCR Link1420-9012JCR Link
Citation
vol. 71, no. 42798.0, pp. 687 - 692
Keywords
Harmonic mapharmonic boundaryRoyden decomposition
Publisher
SPRINGER BASEL AG
Indexed
SCIE; SCOPUS WOS scopus
Abstract
We prove the harmonic map version of the Royden decomposition in the sense that given any bounded C (1)-map f with finite total energy on a complete Riemannian manifold into a Cartan-Hadamard manifold, there exists a unique bounded harmonic map with finite total energy from the manifold into the Cartan-Hadamard manifold taking the same boundary value at each harmonic boundary point as that of f.
DOI
10.1007/s00025-015-0503-x
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
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