Sharp Sobolev inequalities involving boundary terms revisited
Analysis of PDEs
2021-03-22 v1
Abstract
We revisit the sharp Sobolev inequalities involving boundary terms on Riemannian manifolds with boundaries proved by \emph{[Y.Y. Li and M. Zhu, Geom. Funct. Anal. \textbf{8} (1998), 59--87.]} and explore the role of the mean curvature.
Cite
@article{arxiv.2103.10589,
title = {Sharp Sobolev inequalities involving boundary terms revisited},
author = {Zhongwei Tang and Jingang Xiong and Ning Zhou},
journal= {arXiv preprint arXiv:2103.10589},
year = {2021}
}