Functional inequalities on manifolds with non-convex boundary
Functional inequalities on manifolds with non-convex boundary作者机构:Mathematics Research Unit University of Luxembourg Department of Applied Mathematics Zhejiang University of Technology
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2018年第61卷第8期
页 面:1421-1436页
核心收录:
学科分类:12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 0701[理学-数学]
基 金:supported by Fonds National de la Recherche Luxembourg(Grant No.O14/7628746 GEOMREV) the University of Luxembourg(Grant No.IRP R-AGR-0517-10/AGSDE) supported by National Natural Science Foundation of China(Grant No.11501508) Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ16A010009)
摘 要:In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary.