%0 Journal Article %A Hoai-Minh Nguyen %T Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems %J Comptes Rendus. Mathématique %D 2025 %P 1429-1455 %V 363 %I Académie des sciences, Paris %R 10.5802/crmath.802 %G en %F CRMATH_2025__363_G13_1429_0