@article{53b9326929e34a8c8073264723540456,
title = "Energy minimisers of perturbed dislocation energies",
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.",
keywords = "Calder{\'o}n–Zygmund, Dislocations, Euler–Lagrange conditions, Nonlocal energies",
author = "Jоan Mateu and Mora, {M. G.} and L. Rondi and L. Scardia and J. Verdera",
note = "Funding Information: JM and JV acknowledge support from the grants 2017-SGR-395 ( Generalitat de Catalunya ), PID2020-112881GB-I00 and Severo Ochoa and Maria de Maeztu CEX2020-001084-M . MGM acknowledges support by MIUR–PRIN 2017. MGM and LR are members of GNAMPA–INdAM. LS acknowledges support by the EPSRC, United Kingdom under the grants EP/V00204X/1 and EP/V008897/1 . Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",
year = "2023",
month = jun,
doi = "10.1016/j.na.2022.113014",
language = "English",
volume = "231",
journal = "Nonlinear Analysis: Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier",
}