3 citations · 4 across the 7 of their papers we have counts for
7 papers
Continuity of critical points for 1-dimensional non-local energies
Davide Carazzato, Nicola Fusco, Aldo Pratelli
In this paper we deal with the bounded critical points of a Riesz energy of attractive-repulsive type in dimension 1. Under suitable assumptions on the growth of the kernel in the…
Particle approximation of nonlocal interaction energies
Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
We consider Riesz-type nonlocal energies with general interaction kernels and their discretizations related to particle systems. We prove that the discretized energies -converge…
Maximizers of nonlocal interactions of Wasserstein type
Almut Burchard, Davide Carazzato, Ihsan Topaloglu
We characterize the maximizers of a functional that involves the minimization of the Wasserstein distance between sets of equal volume. We prove that balls are the only maximizers…
On the existence of minimizing sets for a weakly-repulsive non-local energy
Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
We consider a non-local interaction energy over bounded densities of fixed mass . We prove that under certain regularity assumptions on the interaction kernel these energies adm…
On the existence and boundedness of minimizing measures for a general form of non-local energies
Davide Carazzato, Aldo Pratelli
In this paper we consider a very general form of a non-local energy in integral form, which covers most of the usual ones (for instance, the sum of a positive and a negative power)…
A note on some non-local variational problems
Davide Carazzato
We study two non-local variational problems that are characterized by the presence of a Riesz-like repulsive term that competes with an attractive term. The first functional is def…
Minimality of balls in the small volume regime for a general Gamow type functional
Davide Carazzato, Nicola Fusco, Aldo Pratelli
We consider functionals given by the sum of the perimeter and the double integral of some kernel , multiplied by a "mass parameter" $…