2 papers
math.DG2024
The Michael-Simon-Sobolev inequality on manifolds for positive symmetric tensor fields
Yuting Wu, Chengyang Yi, Yu Zheng
We prove the Michael-Simon-Sobolev inequality for smooth symmetric uniformly positive definite (0, 2)-tensor fields on compact submanifolds with or without boundary in Riemannian m…
math.DG2023
Michael-Simon Sobolev inequalities in Euclidean space
Yuting Wu, Chengyang Yi
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…