Global minimizers of a large class of anisotropic attractive-repulsive interaction energies in 2D

We study a large family of Riesz-type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined by ellipses under certain assumptions. More precisely, by parameterizing the strength of the...

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Detalles Bibliográficos
Main Authors: Carrillo de la Plata, JA, Shu, R
Formato: Journal article
Idioma:English
Publicado: Wiley 2023