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On Eells-Sampson’s existence theorem for harmonic maps via exponentially harmonic maps

Published online by Cambridge University Press:  11 January 2016

Toshiaki Omori*
Affiliation:
Mathematical Institute Tohoku University, Sendai 980-8578, Japan, sa6m07@math.tohoku.ac.jp
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Abstract

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In this note, we introduce an approximation of harmonic maps via a sequence of exponentially harmonic maps. We then reestablish the existence theorem of harmonic maps due to Eells and Sampson.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011