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Some Liouville Theorems on Finsler Manifolds

Author

Listed:
  • Minqiu Wang

    (Department of Mathematics and Physics, Hefei University, Hefei 230601, China)

  • Songting Yin

    (Department of Mathematics and Computer Science, Tongling University, Tongling 244000, China
    Key Laboratory of Applied Mathematics (Putian University), Fujian Province University, Putian 351100, China)

Abstract

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).

Suggested Citation

  • Minqiu Wang & Songting Yin, 2019. "Some Liouville Theorems on Finsler Manifolds," Mathematics, MDPI, vol. 7(4), pages 1-9, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:351-:d:222841
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    Cited by:

    1. Songting Yin & Minqiu Wang, 2019. "Correction: Wang, M. and Yin, S. Some Liouville Theorems on Finsler Manifolds. Mathematics , 2019, 7 , 351," Mathematics, MDPI, vol. 7(7), pages 1-2, June.

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