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| Liouville Type Theorem About p-Harmonic Functionand p-Harmonic Map with Finite L-Energy |
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Citation： |
Xiangzhi CAO.Liouville Type Theorem About p-Harmonic Functionand p-Harmonic Map with Finite L-Energy[J].Chinese Annals of Mathematics B,2017,38(5):1071~1076 |
| Page view： 2931
Net amount： 1296 |
Authors： |
Xiangzhi CAO; |
Foundation： |
This work was partially supported by the National
Natural Science Foundation of China (No.11571259). |
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| Abstract： |
This paper deals with the $p$-harmonic function on a complete
non-compact submanifold $M$ isometrically immersed in an $(n +
k)$-dimensional complete Riemannian manifold $\ov{M}$ of
non-negative $(n - 1)$-th Ricci curvature. The Liouville type
theorem about the $p$-harmonic map with finite $L^{q}$-energy from
complete submanifold in a partially non-negatively curved manifold
to non-positively curved manifold is also obtained. |
Keywords： |
$p$-Harmonic map, $p$-Harmonic map, Kato inequality, Index,
Liouville theorem |
Classification： |
53C24, 58C40 |
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