Abstract
Let Ω be a C 2 bounded open set of and consider the functionals We prove that if , |∇ u| = 1 a.e., and ∇ u∈BV, then The new result is the Γ- lim sup inequality.
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Conti, S; De Lellis, C (2007). Sharp upper bounds for a variational problem with singular perturbation. Mathematische Annalen, 338(1):119-146.
Let Ω be a C 2 bounded open set of and consider the functionals We prove that if , |∇ u| = 1 a.e., and ∇ u∈BV, then The new result is the Γ- lim sup inequality.
Item Type: | Journal Article, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
Dewey Decimal Classification: | 510 Mathematics |
Scopus Subject Areas: | Physical Sciences > General Mathematics |
Language: | English |
Date: | 2007 |
Deposited On: | 08 Dec 2009 08:26 |
Last Modified: | 07 Jan 2025 04:37 |
Publisher: | Springer |
ISSN: | 0025-5831 |
Additional Information: | The original publication is available at www.springerlink.com |
OA Status: | Green |
Publisher DOI: | https://doi.org/10.1007/s00208-006-0070-2 |