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arXiv · 2205.10284

Proof of the Michael-Simon-Sobolev inequality using optimal transport

S. Brendle·M. Eichmair
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Abstract

We give an alternative proof of the Michael-Simon-Sobolev inequality using techniques from optimal transport. The inequality is sharp for submanifolds of codimension $2$.

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S. Brendle, M. Eichmair. 2022-05-20. Proof of the Michael-Simon-Sobolev inequality using optimal transport. https://arxiv.org/abs/2205.10284

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