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Some Liouville Theorems on Finsler Manifolds

Department of Mathematics and Physics, Hefei University, Hefei 230601, China
Department of Mathematics and Computer Science, Tongling University, Tongling 244000, China
Key Laboratory of Applied Mathematics (Putian University), Fujian Province University, Putian 351100, China
Author to whom correspondence should be addressed.
Mathematics 2019, 7(4), 351;
Received: 22 January 2019 / Revised: 6 April 2019 / Accepted: 11 April 2019 / Published: 15 April 2019
PDF [229 KB, uploaded 15 April 2019]


We give some Liouville type theorems of L p harmonic (resp. subharmonic, superharmonic) functions on a complete noncompact Finsler manifold. Using the geometric relationship between a Finsler metric and its reverse metric, we remove some restrictions on the reversibility. These improve the recent literature (Zhang and Xia, 2014). View Full-Text
Keywords: harmonic function; Finsler manifold; Liouville theorem; reversibility harmonic function; Finsler manifold; Liouville theorem; reversibility
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Wang, M.; Yin, S. Some Liouville Theorems on Finsler Manifolds. Mathematics 2019, 7, 351.

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