5 citations · 5 across the 5 of their papers we have counts for
5 papers · 1 filter
Weak-strong uniqueness for solutions to mean-field games
Rita Ferreira, Diogo Gomes, Vardan Voskanyan
This paper addresses the crucial question of solution uniqueness in stationary first-order Mean-Field Games (MFGs). Despite well-established existence results, establishing uniquen…
Sharp regularity for singular obstacle problems
Damião J. Araújo, Rafayel Teymurazyan, Vardan Voskanyan
We obtain sharp local regularity of solutions for singular obstacle problems, Euler-Lagrange equation of which is given by …
On a Mean Field Optimal Control Problem
Jose A. Carrillo, Edgard A. Pimentel, Vardan K. Voskanyan
In this paper we consider a mean field optimal control problem with an aggregation-diffusion constraint, where agents interact through a potential, in the presence of a Gaussian no…
Regularity for second order stationary mean-field games
Edgard A. Pimentel, Vardan Voskanyan
In this paper, we prove the existence of classical solutions for second order stationary mean-field game systems. These arise in ergodic (mean-field) optimal control, convex degene…
Short-time existence of solutions for mean-field games with congestion
Diogo Gomes, Vardan Voskanyan
We consider time-dependent mean-field games with congestion that are given by a system of a Hamilton-Jacobi equation coupled with a Fokker-Planck equation. The congestion effects m…