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Correction published on 26 June 2019, see Mathematics 2019, 7(7), 570.
Open AccessArticle

Some Liouville Theorems on Finsler Manifolds

by Minqiu Wang 1 and Songting Yin 2,3,*
1
Department of Mathematics and Physics, Hefei University, Hefei 230601, China
2
Department of Mathematics and Computer Science, Tongling University, Tongling 244000, China
3
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; https://doi.org/10.3390/math7040351
Received: 22 January 2019 / Revised: 6 April 2019 / Accepted: 11 April 2019 / Published: 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
MDPI and ACS Style

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

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