Title Sharp upper bounds for a variational problem with singular perturbation. Publication Type Journal Article Year of Publication 2007 Authors Conti S., De Lellis C. Journal Mathematische Annalen Volume 338 Pagination 119–146 Publisher Springer Type of Article phase ISSN 0025-5831 Abstract Let ? be a C 2 bounded open set of and consider the functionals We prove that if , \ensuremath|? u\ensuremath| = 1 a.e., and ? u?BV, then The new result is the \ensuremathΓ- lim sup inequality. Notes Math. Ann. 338 (2007), no. 1, 119–146. URL http://www.springerlink.com/content/d58118158736286k/ DOI 10.1007/s00208-006-0070-2
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