A maximum-principle approach to the minimisation of a nonlocal dislocation energy

In this paper we use an approach based on the maximum principle to characterise the minimiser of a family of nonlocal and anisotropic energies <em>I</em><sub><em>α</em></sub> defined on probability measures in $\mathbb{R}^2$. The purely nonlocal term in <em>...

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Bibliographic Details
Main Authors: Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia, Joan Verdera
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2020012/fulltext.html