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arXiv · 2504.11644

Explicit minimisers for anisotropic Riesz energies

Rupert L. Frank·Joan Mateu·Maria Giovanna Mora·Luca Rondi·Lucia Scardia·Joan Verdera
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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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Rupert L. Frank, Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia, Joan Verdera. 2025-04-15. Explicit minimisers for anisotropic Riesz energies. https://doi.org/10.1007/s00526-025-03185-1

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