3 papers
math.OC2026
Constrained Mean Field Games with Grushin type dynamics
Alessandra Cutrì, Paola Mannucci, Claudio Marchi +1
This paper is devoted to a class of finite horizon deterministic mean field games with Grushin type dynamics, state constraints and nonlocal coupling. First, we consider the optima…
math.AP2024
The continuity equation in the Heisenberg-periodic case: a representation formula and an application to Mean Field Games
Alessandra Cutrì, Paola Mannucci, Claudio Marchi +1
We provide a representation of the weak solution of the continuity equation on the Heisenberg group with periodic data (the periodicity is suitably adapted to the gro…
math.AP2007
Barrier functions for Pucci-Heisenberg operators and applications
Alessandra Cutri, Nicoletta Tchou
The aim of this article is the explicit construction of some barrier functions ("fundamental solutions") for the Pucci-Heisenberg operators. Using these functions we obtain the con…