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arXiv · 2507.00842

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

Hoai-Minh Nguyen
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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.

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Hoai-Minh Nguyen. 2025-07-01. Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems. https://arxiv.org/abs/2507.00842

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