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

Document Type : Original Article

Authors

1 School of Mathematical Sciences Chongqing Normal University Chongqing, China

2 School of Mathematical Sciences Chongqing Normal University,Chongqing,China

Abstract

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