13 citations · 39 across the 20 of their papers we have counts for
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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,…
Quantitative and qualitative properties for Hamilton-Jacobi PDEs via the nonlinear adjoint method
Fabio Camilli, Alessandro Goffi, Cristian Mendico
We provide some new integral estimates for solutions to Hamilton-Jacobi equations and we discuss several consequences, ranging from -rates of convergence for the vanishing vis…
Analysis of the vanishing discount limit for optimal control problems in continuous and discrete time
Piermarco Cannarsa, Stephane Gaubert, Cristian Mendico +1
A classical problem in ergodic continuous time control consists of studying the limit behavior of the optimal value of a discounted cost functional with infinite horizon as the dis…
Aubry-Mather theory for optimal control systems with nonholonomic constraints
Piermarco Cannarsa, Cristian Mendico
In this work, we extend Aubry-Mather theory to the case of control systems with nonholonomic constraints. In this framework, we consider an optimal control problem where admissible…
Differential N-players game: Nash equilibria and Mather measures
Cristian Mendico
We study Nash equilibria for the deterministic ergodic N-players game. We introduce pure strategies, mixed strategies and Nash equilibria associated with those. We show that a Nash…