English

Explicit minimisers for anisotropic Riesz energies

Analysis of PDEs 2025-12-18 v2

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.

Keywords

Cite

@article{arxiv.2504.11644,
  title  = {Explicit minimisers for anisotropic Riesz energies},
  author = {Rupert L. Frank and Joan Mateu and Maria Giovanna Mora and Luca Rondi and Lucia Scardia and Joan Verdera},
  journal= {arXiv preprint arXiv:2504.11644},
  year   = {2025}
}

Comments

Small changes after the referee's report

R2 v1 2026-06-28T22:59:49.676Z