@article{CRMATH_2025__363_G13_1429_0, author = {Hoai-Minh Nguyen}, title = {Characterizations of the {Sobolev} norms and the total variation via nonlocal functionals, and related problems}, journal = {Comptes Rendus. Math\'ematique}, pages = {1429--1455}, year = {2025}, publisher = {Acad\'emie des sciences, Paris}, volume = {363}, doi = {10.5802/crmath.802}, language = {en}, }