May 6, 2024Open Access

Sobolev inequality on manifolds with asymptotically nonnegative Bakry–Émery Ricci curvature

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Abstract

Abstract In 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.

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Dong et al. (Mon,) studied this question.

synapsesocial.com/papers/68e6b5f5b6db64358763711c https://doi.org/https://doi.org/10.1112/blms.13061