2011
DOI: 10.1215/00277630-2010-019
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On Eells-Sampson’s existence theorem for harmonic maps via exponentially harmonic maps

Abstract: Abstract. 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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Cited by 10 publications
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“…It is, however, the authors' opinion that the mentioned ramifications (to which one may add p-harmonic and exponentially harmonic maps (cf. [40] and [43]), Gromov's tangentially harmonic maps (cf. [28]), and harmonic maps from Finslerian manifolds (cf., e.g., [13] and [55,56])) are but a measure of the enormous success enjoyed by the theory.…”
Section: Variational Treatment Of Levi Harmonicitymentioning
confidence: 99%
“…It is, however, the authors' opinion that the mentioned ramifications (to which one may add p-harmonic and exponentially harmonic maps (cf. [40] and [43]), Gromov's tangentially harmonic maps (cf. [28]), and harmonic maps from Finslerian manifolds (cf., e.g., [13] and [55,56])) are but a measure of the enormous success enjoyed by the theory.…”
Section: Variational Treatment Of Levi Harmonicitymentioning
confidence: 99%