2 citations · 3 across the 16 of their papers we have counts for
14 papers · 1 filter
Long-time behaviour of deterministic Mean Field Games with non-monotone interactions
Martino Bardi, Hicham Kouhkouh
We consider deterministic Mean Field Games (MFG) in all Euclidean space with a cost functional continuous with respect to the distribution of the agents and attaining its minima in…
Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I. The Heisenberg group
Martino Bardi, Alessandro Goffi
This paper studies Liouville properties for viscosity sub- and supersolutions of fully nonlinear degenerate elliptic PDEs, under the main assumption that the operator has a family…
Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets
Martino Bardi, Ermal Feleqi, Pierpaolo Soravia
In this paper we relax the current regularity theory for the eikonal equation by using the recent theory of { set-valued} iterated Lie brackets. We give sufficient conditions for s…
New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs
Martino Bardi, Alessandro Goffi
We introduce a notion of subunit vector field for fully nonlinear degenerate elliptic equations. We prove that an interior maximum of a viscosity subsolution of such an equation pr…
Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms
Martino Bardi, Annalisa Cesaroni, Erwin Topp
This paper deals with the periodic homogenization of nonlocal parabolic Hamilton-Jacobi equations with superlinear growth in the gradient terms. We show that the problem presents d…
Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions
Martino Bardi, Marco Cirant
We study the uniqueness of solutions to systems of PDEs arising in Mean Field Games with several populations of agents and Neumann boundary conditions. The main assumption requires…