17 citations · 56 across the 22 of their papers we have counts for
30 papers
Some remarks on nonexistence in the Gamow liquid drop model
Dario Mazzoleni, Aldo Pratelli, Berardo Ruffini
In this paper we deal with the celebrated Gamow liquid drop model, namely, for , and , we study the problem \[ \min\Big\{P(Ω)+ V_α(Ω) : Ω\subset \mathbb{…
Nonexistence for screened Hartree energies
Dario Mazzoleni, Riccardo Moraschi, Berardo Ruffini
We develop an anti-concentration method for volume-constrained nonlocal shape optimization. Precisely, we apply it to prove the nonexistence of minimizers of an optimal design prob…
Existence and Regularity in the Small-Mass Regime for a Hartree--Ohta-Kawasaki Shape Optimization Problem
Dario Mazzoleni, Riccardo Moraschi, Berardo Ruffini
We consider a shape optimization problem for a hybrid energy combining local confinement and nonlocal Coulomb repulsion. Specifically, for any open set of…
A strong quantitative form of the fractional isoperimetric inequality
Eleonora Cinti, Enzo Maria Merlino, Berardo Ruffini
We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of osc…
Barycentric stability of nonlocal perimeters: the convex case
Chiara Gambicchia, Enzo Maria Merlino, Berardo Ruffini +1
In this work, we establish a sharp form of a nonlocal quantitative isoperimetric inequality involving the barycentric asymmetry for convex sets. This result can be seen as the nonl…
Threshold dynamics approximation schemes for anisotropic mean curvature flows with a forcing term
Bohdan Bulanyi, Berardo Ruffini
We establish the convergence of threshold dynamics-type approximation schemes to propagating fronts evolving according to an anisotropic mean curvature motion in the presence of a…