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The Dirichlet problem for harmonic maps from the disc into the 2-sphere

Published online by Cambridge University Press:  14 November 2011

Alain Soyeur
Alain Soyeur
Affiliation:
Laboratoire d'Analyse Numérique, Université de Paris-Sud, 91405 Orsay Cedex, France
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Synopsis

We consider the Dirichlet problem for harmonic maps from the disc D2 into the sphere S2, with prescribed boundary values γ:∂D2→S2, and we prove that if γ is not a rational function, one can find infinitely many nonhomotopic harmonic maps which agree with γon ∂D2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 113 , Issue 3-4 , 1989 , pp. 229 - 234
Copyright
Copyright © Royal Society of Edinburgh 1989

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References

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