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

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2022-05-20 DOI:10.1515/crelle-2023-0054

S. Brendle, M. Eichmair

引用次数: 4

Abstract

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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用最优输运证明Michael-Simon-Sobolev不等式

摘要利用最优输运技术给出了Michael-Simon-Sobolev不等式的另一种证明。这个不等式对于余维为2的子流形是尖锐的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.