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.
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
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).
This is an open access article distributed under the Creative Commons Attribution License
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MDPI and ACS Style
Wang, M.; Yin, S. Some Liouville Theorems on Finsler Manifolds. Mathematics 2019, 7, 351.
Wang M, Yin S. Some Liouville Theorems on Finsler Manifolds. Mathematics. 2019; 7(4):351.
Wang, Minqiu; Yin, Songting. 2019. "Some Liouville Theorems on Finsler Manifolds." Mathematics 7, no. 4: 351.
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