Some Liouville Theorems on Finsler Manifolds

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).

Keywords

• harmonic function
• Finsler manifold
• Liouville theorem
• reversibility