3 citations · 6 across the 5 of their papers we have counts for
7 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…
Shape optimisation for nonlocal anisotropic energies
Riccardo Cristoferi, Maria Giovanna Mora, Lucia Scardia
In this paper we consider shape optimisation problems for sets of prescribed mass, where the driving energy functional is nonlocal and anisotropic. More precisely, we deal with the…
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 …
The equilibrium measure for a nonlocal dislocation energy
Maria Giovanna Mora, Luca Rondi, Lucia Scardia
In this paper we characterise the equilibrium measure for a nonlocal and anisotropic weighted energy describing the interaction of positive dislocations in the plane. We prove that…