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math.AP2022
Explicit minimisers for anisotropic Coulomb energies in 3D
Joan Mateu, Maria Giovanna Mora, Luca Rondi +2
In this paper we consider a general class of anisotropic energies in three dimensions and give a complete characterisation of their minimisers. We show that, depending on the Fouri…
math.AP2019★ 2 cited
The equilibrium measure for an anisotropic nonlocal energy
J. A. Carrillo, J. Mateu, M. G. Mora +3
In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic energies defined on probability measures in , with . The ene…
math.AP2017★ 1 cited
The ellipse law: Kirchhoff meets dislocations
J. A. Carrillo, J. Mateu, M. G. Mora +3
In this paper we consider a nonlocal energy whose kernel is obtained by adding to the Coulomb potential an anisotropic term weighted by a parameter . The case …