Local gradient estimate for harmonic functions on Finsler manifolds

Abstract

In this paper, we prove the local gradient estimate for harmonic functions on complete, noncompact Finsler measure spaces under the condition that the weighted Ricci curvature has a lower bound. As applications, we obtain Liouville type theorem on Finsler manifolds with nonnegative Ricci curvature.

Calc. Var. to appear

Cited by in corpus (1)

• On the curvature and heat flow on Hamiltonian systems