paper

Michael-Simon Sobolev inequalities in Euclidean space

arXiv:2305.13633

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.

10 pages

Michael-Simon Sobolev inequalities in Euclidean space · wovepaper