Gradient Young measures, varifolds, and a generalized Willmore functional
نویسندگان
چکیده
منابع مشابه
Gradient Young measures, varifolds, and a generalized Willmore functional
Being Ω an open and bounded Lipschitz domain of Rn, we consider the generalized Willmore functional defined on L1(Ω) as F(u) = ∫ Ω |∇u|(α +β |div ∇u |∇u| |p)dx if u ∈ C2(Ω), +∞ else, where p > 1, α > 0, β ≥ 0. We propose a new framework, that combines varifolds and Young measures, to study the relaxation of F in BV(Ω) with respect to the strong topology of L1.
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ژورنال
عنوان ژورنال: Advances in Calculus of Variations
سال: 2013
ISSN: 1864-8258,1864-8266
DOI: 10.1515/acv-2011-0014