Dimension reduction for −Δ1. (6th February 2014)

• Record Type: Journal Article
• Authors: Amendola, Maria Emilia; Gargiulo, Giuliano; Zappale, Elvira
• Is Part Of: ESAIM. Volume 20:Number 1(2014:Jan.)
• Page Start: 42
• Page End: 77
• Publication Date: 2014-02-06
• Subjects: System analysis -- Periodicals; Calculus of variations -- Periodicals; Mathematical analysis -- Periodicals; Mathematical optimization -- Periodicals; Control theory -- Periodicals; 515.64
• DOI: 10.1051/cocv/2013053
• Languages: English
• ISSNs: 1292-8119

Abstract

<abstract abstract-type="normal" xml:lang="en"> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <p>A 3D-2D dimension reduction for −Δ₁ is obtained. A power law approximation from −Δ_{<italic>p</italic>} as <italic>p</italic> → 1 in terms of <italic>Γ</italic>-convergence, duality and asymptotics for least gradient functions has also been provided.</p> </abstract>