Michael-Simon Sobolev inequalities in Euclidean space

Yuting Wu; Chengyang Yi

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arXiv · 2305.13633

Michael-Simon Sobolev inequalities in Euclidean space

Yuting Wu·Chengyang Yi

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Abstract

Inspired by [1, 13], we prove Michael-Simon type inequalities for smooth symmetric uniformly positive define (0, 2)-tensor fields on compact submanifolds in Euclidean space by the Alexandrov-Bakelman-Pucci (ABP) method.

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Yuting Wu, Chengyang Yi. 2023-05-23. Michael-Simon Sobolev inequalities in Euclidean space. https://arxiv.org/abs/2305.13633

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