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Harmonic morphisms as a variational problem

Published online by Cambridge University Press:  14 November 2011

E. Loubeau
E. Loubeau
Affiliation:
Université de Bretagne Occidental, UFR Sciences et Techniques, Departement de Mathematiques, 6, avenue Victor Le Gorgeu, BP 809, 29285 Brest Cedex, France (loubeau@univ-brest.fr)
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Abstract

In this note, we establish a variational setting for harmonic morphisms for target spaces of any dimension. We then extend this result to horizontally weakly conformal p-harmonic maps, such maps being p-harmonic morphisms.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 2 , 1999 , pp. 385 - 393
Copyright
Copyright © Royal Society of Edinburgh 1999

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