Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems
Hoai-Minh Nguyen
Published: 2025/7/1
Abstract
We briefly discuss the contribution of Ha\"im Brezis and his co-authors on the characterizations of the Sobolev norms and the total variation using non-local functionals. Some ideas of the analysis are given and new results are presented.