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Harnack inequality and Liouville properties for L-harmonic operator |
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| Authors: | Qihua Ruan |
| Affiliation: | a School of Mathematics, Zhongshan University, Guangzhou, Guangdong 510275, PR China b Department of Mathematics, Putian University, Putian, Fujian 351100, PR China |
| Abstract: | For any complete manifold with nonnegative Bakry-Emery's Ricci curvature, we prove the gradient estimate of L-harmonic function. As application, we use this gradient estimate to deduce the localized version of the Harnack inequality for L-harmonic operator and some Liouville properties of positive or bounded L-harmonic function. |
| Keywords: | Harnack inequality Liouville property L-Harmonic |
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