3 citations · 11 across the 16 of their papers we have counts for
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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…
Semi-linear parabolic equations on homogeneous Lie groups arising from mean field games
Paola Mannucci, Claudio Marchi, Cristian Mendico
The existence and the uniqueness of solutions to some semilinear parabolic equations on homogeneous Lie groups, namely, the Fokker-Planck equation and the Hamilton-Jacobi equation,…
Non coercive unbounded first order Mean Field Games: the Heisenberg example
Paola Mannucci, Claudio Marchi, Nicoletta Tchou
In this paper we study evolutive first order Mean Field Games in the Heisenberg group; each agent can move in the whole space but it has to follow "horizontal" trajectories which a…
Deterministic mean field games with control on the acceleration and state constraints
Yves Achdou, Paola Mannucci, Claudio Marchi +1
We consider deterministic mean field games in which the agents control their acceleration and are constrained to remain in a domain of R n. We study relaxed equilibria in the Lagra…
First order Mean Field Games in the Heisenberg group: periodic and non periodic case
Paola Mannucci, Claudio Marchi, Nicoletta Tchou
In this paper we study evolutive first order Mean Field Games in the Heisenberg group~$\He^1$; each agent can move only along "horizontal" trajectories which are given in terms of…
Deterministic mean field games with control on the acceleration
Yves Achdou, Paola Mannucci, Claudio Marchi +1
In the present work, we study deterministic mean field games (MFGs) with finite time horizon in which the dynamics of a generic agent is controlled by the acceleration. They are de…