@Article{CMAA-4-419,
author = {Bianco , Serena Guarino Lo and Schiattarella , Roberta},
title = {Variational Functionals for the Characterization of BV and Sobolev Spaces},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {3},
pages = {419--437},
abstract = {<p style="text-align: justify;">This paper examines the characterization of bounded variation (BV)
and Sobolev functions by using some non-local functionals. We analyze their
pointwise convergence and establish a connection with the Sobolev norm and
the total variation measure. By investigating a wider class of non local functionals, we provide a deeper understanding of how these approximations capture the local properties of BV and Sobolev spaces, thereby reinforcing their
applicability in the Euclidean setting.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2025-0012},
url = {http://global-sci.org/intro/article_detail/cmaa/24336.html}
}