Michael-Simon Sobolev inequalities in Euclidean space
Differential Geometry
2023-05-24 v1
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.
Cite
@article{arxiv.2305.13633,
title = {Michael-Simon Sobolev inequalities in Euclidean space},
author = {Yuting Wu and Chengyang Yi},
journal= {arXiv preprint arXiv:2305.13633},
year = {2023}
}
Comments
10 pages