activity
20162026
most citedRegularity of the optimal sets for a class of integral shape functionals

2 citations · 4 across the 12 of their papers we have counts for

collaborators

20 papers

math.AP2026

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…

math.AP2026

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…

math.AP2024★ 1 cited

Free boundary regularity for a spectral optimal partition problem with volume and inclusion constraints

Dario Mazzoleni, Makson S. Santos, Hugo Tavares

This paper is devoted to a complete characterization of the free boundary of all solutions to the following spectral -partition problem with measure and inclusion constraints: \…

math.AP2024

Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem

Lorenzo Ferreri, Dario Mazzoleni, Benedetta Pellacci +1

We complete the study concerning the minimization of the positive principal eigenvalue associated with a weighted Neumann problem settled in a bounded regular domain $Ω\subset \mat…

math.AP2024

An optimal design problem for a charge qubit

Dario Mazzoleni, Cyrill B. Muratov, Berardo Ruffini

In this paper we introduce a simple variational model describing the ground state of a superconducting charge qubit. The model gives rise to a shape optimization problem that aims…

math.AP2024

On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation

Dario Mazzoleni, Emanuela Radici, Filippo Riva

We propose and analyse a new microscopic second order Follow-the-Leader type scheme to describe traffic flows. The main novelty of this model consists in multiplying the second ord…