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On the Existence of n-Harmonic Spheres |
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| Authors: | Shigeo Kawai Nobumitsu Nakauchi Hiroshi Takeuchi |
| Institution: | (1) Department of Mathematics, Saga University, Saga, 840, Japan;(2) Yamaguchi University, Yamaguchi, 735, Japan;(3) Shikoku University, Tokushima, 771-11, Japan |
| Abstract: | 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 map Riemannian manifolds |
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