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Cheng, Xinyue, Chen, Zhifan, Feng, Yalu. (1402). Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K. سامانه مدیریت نشریات علمی, 4(1), 55-68. doi: 10.22098/jfga.2023.13069.1091
Xinyue Cheng; Zhifan Chen; Yalu Feng. "Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K". سامانه مدیریت نشریات علمی, 4, 1, 1402, 55-68. doi: 10.22098/jfga.2023.13069.1091
Cheng, Xinyue, Chen, Zhifan, Feng, Yalu. (1402). 'Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K', سامانه مدیریت نشریات علمی, 4(1), pp. 55-68. doi: 10.22098/jfga.2023.13069.1091
Cheng, Xinyue, Chen, Zhifan, Feng, Yalu. Local gradient estimate for Finsler p-eigenfunctions on Finsler manifolds with Ric∞≥ -K. سامانه مدیریت نشریات علمی, 1402; 4(1): 55-68. doi: 10.22098/jfga.2023.13069.1091

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 (386.79 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
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