Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems
Functional Analysis
2025-09-22 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2507.00842,
title = {Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems},
author = {Hoai-Minh Nguyen},
journal= {arXiv preprint arXiv:2507.00842},
year = {2025}
}