Energy minimisers of perturbed dislocation energies

Jоan Mateu, M. G. Mora, L. Rondi, L. Scardia, J. Verdera

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.
Original languageEnglish
Article number113014
JournalNonlinear Analysis: Theory, Methods and Applications
Volume231
Early online date14 Jun 2022
DOIs
Publication statusPublished - Jun 2023

Keywords

  • Calderón–Zygmund
  • Dislocations
  • Euler–Lagrange conditions
  • Nonlocal energies

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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