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.
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)+1 种基金supported by National Natural Science Foundation of China(Grant No.11501508)Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ16A010009)
文摘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.