TY - JOUR
T1 - Characterization of Sobolev and BV spaces
AU - Leoni, Giovanni
AU - Spector, Daniel
N1 - Funding Information:
The authors warmly thank the Center for Nonlinear Analysis (NSF Grant Nos. DMS-0405343 and DMS-0635983), where this research was carried out. The research of G. Leoni and D. Spector was partially funded by the National Science Foundation under Grant Nos. DMS-0708039 and DMS-1007989.
PY - 2011/11/15
Y1 - 2011/11/15
N2 - The main results of this paper are new characterizations of W1,p(<), 1N an arbitrary open set. Using these results, we answer some open questions of Brezis (2002) [10] and Ponce (2004) [25].
AB - The main results of this paper are new characterizations of W1,p(<), 1N an arbitrary open set. Using these results, we answer some open questions of Brezis (2002) [10] and Ponce (2004) [25].
KW - Functions of bounded variation
KW - Non-local functionals
KW - Sobolev spaces
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U2 - 10.1016/j.jfa.2011.07.018
DO - 10.1016/j.jfa.2011.07.018
M3 - Article
AN - SCOPUS:80052491311
SN - 0022-1236
VL - 261
SP - 2926
EP - 2958
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 10
ER -