An extension theorem from connected sets and homogenization of non-local functionals. (July 2021)

• Record Type: Journal Article
• Authors: Braides, Andrea; Chiadò Piat, Valeria; D'Elia, Lorenza
• Is Part Of: Nonlinear analysis. Volume 208(2021)
• Publication Date: 2021-07
• Subjects: 49J45 -- 49J55 -- 74Q05 -- 35B27 -- 35B40 -- 45E10; Homogenization -- Perforated domains -- Non-local functionals -- Extension operators; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112316
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study the asymptotic behaviour of convolution-type functionals defined on general periodic domains by proving an extension theorem.