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

Hoai-Minh Nguyen

公開日: 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.

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