Affiliation:
1. School of Mathematical Sciences Fudan University Shanghai P.R. China
2. School of Mathematics and Statistics & Key Laboratory of Analytical Mathematics and Applications (Ministry of Education) & FJKLAMA Fujian Normal University Fuzhou P.R. China
Abstract
AbstractIn this paper, inspired by Brendle (Comm. Pure Appl. Math. 76 (2023), 2192) and Johne (arXiv:2103.08496, 2021), we prove a Sobolev inequality on manifolds with density and asymptotically nonnegative Bakry–Émery Ricci curvature.
Funder
National Natural Science Foundation of China