# Sharp upper bounds for a variational problem with singular perturbation

Conti, S; De Lellis, C (2007). Sharp upper bounds for a variational problem with singular perturbation. Mathematische Annalen, 338(1):119-146.

## 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.

## 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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