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: 1–Laplacian, -- Γ–convergence, -- least gradient functions, -- dimension reduction, -- duality; 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 : A 3D-2D dimension reduction for −Δ1 is obtained. A power law approximation from −Δ p as p → 1 in terms of Γ -convergence, duality and asymptotics for least gradient functions has also been provided.