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math.AP2018
The planning problem in Mean Field Games as regularized mass transport
P. Jameson Graber, Alpár R. Mészáros, Francisco J. Silva +1
In this paper, using variational approaches, we investigate the first order planning problem arising in the theory of mean field games. We show the existence and uniqueness of weak…
math.AP2017★ 1 cited
On nonlinear cross-diffusion systems: an optimal transport approach
Inwon Kim, Alpár R. Mészáros
We study a nonlinear, degenerate cross-diffusion model which involves two densities with two different drift velocities. A general framework is introduced based on its gradient flo…
math.AP2017
On the variational formulation of some stationary second order mean field games systems
Alpár Richárd Mészáros, Francisco J. Silva
We consider the variational approach to prove the existence of solutions of second order stationary Mean Field Games on a bounded domain , with Neumann b…