Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems

We briefly discuss the contribution of Haïm 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.

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Publication Details

Journal
Comptes Rendus Mathématique
Published
2025-11-28
DOI
https://doi.org/10.5802/crmath.802
Citations
1
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
3.73
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article

Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems

Hoai-Minh Nguyen
1 citations
Comptes Rendus Mathématique
Differential Equations and Boundary Problems
3.73
article

Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems

Hoai-Minh Nguyen
article en
1 citations

Abstract

We briefly discuss the contribution of Haïm 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.

Comptes Rendus MathématiqueVol. 363(G13)
Centre National de la Recherche Scientifique (FR), Université Paris Cité (FR), Sorbonne Université (FR), Laboratoire Jacques-Louis Lions (FR)
Openalex Percentile: Top 7%
Differential Equations and Boundary Problems
3.73
DOIOpen Access PDFOpenAlex
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