Explicit minimisers for anisotropic Riesz energies

2025/04/15 by Frank, Rupert L., Mateu, Joan, Mora, Maria Giovanna +3 · 1 citation
#31A15 (primary) #49K20 (secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.11644

Abstract

In this paper we describe explicitly the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisotropic.

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• Existence of minimizers for interaction energies with external potentials

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