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arXiv · 2103.10589

Sharp Sobolev inequalities involving boundary terms revisited

Zhongwei Tang·Jingang Xiong·Ning Zhou
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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.

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Zhongwei Tang, Jingang Xiong, Ning Zhou. 2021-03-19. Sharp Sobolev inequalities involving boundary terms revisited. https://arxiv.org/abs/2103.10589

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