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On the Existence of n-Harmonic Spheres

Published online by Cambridge University Press:  04 December 2007

SHIGEO KAWAI ,
NOBUMITSU NAKAUCHI  and
HIROSHI TAKEUCHI
SHIGEO KAWAI
Affiliation:
Department of Mathematics, Saga University, Saga 840, Japan
NOBUMITSU NAKAUCHI
Affiliation:
Yamaguchi University, Yamaguchi 735, Japan>
HIROSHI TAKEUCHI
Affiliation:
Shikoku University, Tokushima 771-11, Japan
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Abstract

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Using the bubbling argument of Sacks and Uhlenbeck, we prove the existence of n-harmonic maps from the n-sphere to Riemannian manifolds. An application is made to a problem concerning manifolds with strongly pth moment stable stochastic dynamical systems.

Keywords

p-harmonic mapRiemannian manifolds.
Type
Research Article
Information
Compositio Mathematica , Volume 117 , Issue 1 , May 1999 , pp. 35 - 46
Copyright
© 1999 Kluwer Academic Publishers