Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K

We establish a local gradient estimate for positive Finsler p-eigenfu-nctions on a complete non-compact Finsler measure space M with its weighted Ricci curvature Ric∞ bounded from below by a non-positive constant. As an application, we obtain the corresponding Harnack inequality.

Keywords:

Finsler measure space , Ricci curvature , weighted Ricci curvature , gradient estimate , Harnack inequality