3 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 o…
math.AP2025
Quantitative and exact concavity principles for parabolic and elliptic equations
Marco Gallo, Riccardo Moraschi, Marco Squassina
Goal of this paper is to study classes of Cauchy-Dirichlet problems which include parabolic equations of the type with $Ω\su…