Abstract
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.
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Acknowledgements
This work was supported by Fonds National de la Recherche Luxembourg (Grant No. O14/7628746 GEOMREV) and the University of Luxembourg (Grant No. IRP R-AGR-0517-10/AGSDE). The first author was supported by National Natural Science Foundation of China (Grant No. 11501508) and Zhejiang Provincial Natural Science Foundation of China (Grant No. LQ16A010009).
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Cheng, L., Thalmaier, A. & Thompson, J. Functional inequalities on manifolds with non-convex boundary. Sci. China Math. 61, 1421–1436 (2018). https://doi.org/10.1007/s11425-017-9344-x
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DOI: https://doi.org/10.1007/s11425-017-9344-x