3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2020
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" $…