3 citations · 6 across the 4 of their papers we have counts for
5 papers
Nonlocal anisotropic Riesz interactions with a physical confinement
Maria Giovanna Mora, Luca Rondi, Lucia Scardia +1
In this work we fully characterize, in any space dimension, the minimizer of a class of nonlocal and anisotropic Riesz energies defined over probability measures supported on ellip…
Explicit minimisers for anisotropic Riesz energies
Rupert L. Frank, Joan Mateu, Maria Giovanna Mora +3
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 anisot…
Explicit minimisers of some nonlocal anisotropic energies: a short proof
J. Mateu, M. G. Mora, l. Rondi +2
In this paper we consider nonlocal energies defined on probability measures in the plane, given by a convolution interaction term plus a quadratic confinement. The interaction kern…
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…
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 …