November 28, 2025Open Access

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

HNHoai-Minh NguyenCentre National de la Recherche Scientifique

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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.

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Hoai-Minh Nguyen (Fri,) studied this question.

synapsesocial.com/papers/69402df12d562116f29040ae https://doi.org/https://doi.org/10.5802/crmath.802

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