Energy minimisers of perturbed dislocation energies. (June 2023)

• Record Type: Journal Article
• Authors: Mateu, J.; Mora, M.G.; Rondi, L.; Scardia, L.; Verdera, J.
• Is Part Of: Nonlinear analysis. Volume 231(2023)
• Publication Date: 2023-06
• Subjects: Nonlocal energies -- Calderón–Zygmund -- Euler–Lagrange conditions -- Dislocations; 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.2022.113014
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we show that ellipses persist as energy minimisers under small perturbations, starting from a nonlocal energy inspired by edge dislocations. The case of Coulomb energies has been recently considered by the same authors.