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.
Cheng, X., Chen, Z., & Feng, Y. (2023). Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K. Journal of Finsler Geometry and its Applications, 4(1), 55-68. doi: 10.22098/jfga.2023.13069.1091
MLA
Xinyue Cheng; Zhifan Chen; Yalu Feng. "Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K". Journal of Finsler Geometry and its Applications, 4, 1, 2023, 55-68. doi: 10.22098/jfga.2023.13069.1091
HARVARD
Cheng, X., Chen, Z., Feng, Y. (2023). 'Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K', Journal of Finsler Geometry and its Applications, 4(1), pp. 55-68. doi: 10.22098/jfga.2023.13069.1091
VANCOUVER
Cheng, X., Chen, Z., Feng, Y. Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K. Journal of Finsler Geometry and its Applications, 2023; 4(1): 55-68. doi: 10.22098/jfga.2023.13069.1091