Xinyue Cheng - School of Mathematical Sciences Chongqing Normal University Chongqing, China
Zhifan Chen - School of Mathematical Sciences Chongqing Normal University，Chongqing，China
Yalu Feng - School of Mathematical Sciences Chongqing Normal University Chongqing, China

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.

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