Abstract
The main results of this paper are new characterizations of W1,p(<), 1<p<∞, and BV(Ω) for Ω⊂R{double-struck}N an arbitrary open set. Using these results, we answer some open questions of Brezis (2002) [10] and Ponce (2004) [25].
Original language | English |
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Pages (from-to) | 2926-2958 |
Number of pages | 33 |
Journal | Journal of Functional Analysis |
Volume | 261 |
Issue number | 10 |
DOIs | |
State | Published - 15 Nov 2011 |
Keywords
- Functions of bounded variation
- Non-local functionals
- Sobolev spaces