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Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K | ||
Journal of Finsler Geometry and its Applications | ||
دوره 4، شماره 1، مهر 2023، صفحه 55-68 اصل مقاله (328.12 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2023.13069.1091 | ||
نویسندگان | ||
Xinyue Cheng* 1؛ Zhifan Chen2؛ Yalu Feng3 | ||
1School of Mathematical Sciences Chongqing Normal University Chongqing, China | ||
2School of Mathematical Sciences Chongqing Normal University,Chongqing,China | ||
3School of Mathematical Sciences Chongqing Normal University Chongqing, China | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Finsler measure space؛ Ricci curvature؛ weighted Ricci curvature؛ gradient estimate؛ Harnack inequality | ||
آمار تعداد مشاهده مقاله: 64 تعداد دریافت فایل اصل مقاله: 108 |