Calculus of Variations and Geometric Measure Theory

R. L. Frank - M. G. Mora - J. Mateu - L. Rondi - L. Scardia - J. Verdera

Explicit minimisers for anisotropic Riesz energies

created by scardia on 15 Apr 2025

[BibTeX]

Preprint

Inserted: 15 apr 2025
Last Updated: 15 apr 2025

Year: 2025

Abstract:

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

Keywords: Potential theory, Nonlocal energy, anisotropic interaction, Riesz potential


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