A. R. Mészáros:
Mean Field Games with density constraints
(M2 Mémoire/MSc thesis) 2012

A. R. Mészáros, F. J. Silva:
A variational approach to second order mean field games with density constraints: the stationary case
J. Math. Pures Appl. (Accepted Paper) 2015

A. R. Mészáros:
Density constraints in Optimal Transport, PDEs and Mean Field Games
(Phd Thesis) 2015

G. De Philippis, A. R. Mészáros, F. Santambrogio, B. Velichkov:
BV Estimates in Optimal Transportation and Applications
Arch. Rat. Mech. Anal. 2015

A. R. Mészáros, F. Santambrogio:
Advection-diffusion equations with density constraints
Analysis and PDEs (Accepted Paper) 2016

P. Cardaliaguet, A. R. Mészáros, F. Santambrogio:
First order Mean Field Games with density constraints: Pressure equals Price
SIAM J. Contr. Opt. (Accepted Paper) 2016

S. Di Marino, A. R. Mészáros:
Uniqueness issues for evolution equations with density constraints
Math. Models Methods Appl. Sci. (Accepted Paper) 2016

A. R. Mészáros, F. J. Silva:
On the variational formulation of some stationary second order mean field games systems
 SIAM J. Math. Anal. (Accepted Paper) 2017

P. J. Graber, A. R. Mészáros:
Sobolev regularity for first order Mean Field Games
Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2017

I. Kim, A. R. Mészáros:
On nonlinear cross-diffusion systems: an optimal transport approach
Calc. Var. Partial Differential Equations (Accepted Paper) 2018

P. J. Graber, A. R. Mészáros, F. Silva, D. Tonon:
The planning problem in Mean Field Games as regularized mass transport
Calc. Var. Partial Differential Equations (Accepted Paper) 2019

A. Adve, A. R. Mészáros:
On nonexpansiveness of metric projection operators on Wasserstein spaces
(Submitted Paper) 2020

W. Gangbo, A. R. Mészáros:
Global well-posedness of Master equations for deterministic displacement convex potential mean field games
Comm. Pure Appl. Math. (Accepted Paper) 2021

D. Kwon, A. R. Mészáros:
Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients
J. Lond. Math. Soc. (Accepted Paper) 2021

M. Jacobs, I. Kim, A. R. Mészáros:
Weak solutions to the Muskat problem with surface tension via optimal transport
Arch. Ration. Mech. Anal. 2021

W. Gangbo, A. R. Mészáros, C. Mou, J. Zhang:
Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity
Ann. Probab. (Accepted Paper) http://arxiv.org/abs/2101.12362 2022

M. Griffin-Pickering, A. R. Mészáros:
A variational approach to first order kinetic mean field games with  local couplings
Comm. Partial Differential Equations (Accepted Paper) http://arxiv.org/abs/2112.03141 2022

D. M. Ambrose, A. R. Mészáros:
Well-posedness of mean field games master equations involving non-separable local Hamiltonians
Trans. Amer. Math. Soc. 2023

A. R. Mészáros, C. Mou:
Mean Field Games systems under displacement monotonicity
SIAM J. Math. Anal. (Accepted Paper) http://arxiv.org/abs/2109.06687 2023

P. J. Graber, A. R. Mészáros:
On monotonicity conditions for Mean Field Games
J. Funct. Anal. 2023

M. Bansil, A. R. Mészáros:
On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations
(Preprint) http://arxiv.org/abs/2403.05412 2024

M. Bansil, A. R. Mészáros:
Hidden monotonicity and canonical transformations for mean field games and master equations
(Preprint) http://arxiv.org/abs/2403.05426 2024

D. M. Ambrose, M. Griffin-Pickering, A. R. Mészáros:
Kinetic-type Mean Field Games with Non-separable Local Hamiltonians
(Preprint) http://arxiv.org/abs/2403.12829 2024

P. J. Graber, A. R. Mészáros:
On Some Mean Field Games and Master Equations through the lens of conservation laws
Math. Ann. (Accepted Paper) http://arxiv.org/abs/2208.10360 2024

H. Liao, A. R. Mészáros, C. Mou, C. Zhou:
Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size
(Submitted Paper) 2024

N. David, A. R. Mészáros, F. Santambrogio:
Improved convergence rates for the Hele-Shaw limit in the presence of confining potentials
(Preprint) http://arxiv.org/abs/2405.07227 2024

M. Bansil, A. R. Mészáros, C. Mou:
Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations
SIAM J. Control Optim. (Accepted Paper) http://arxiv.org/abs/2308.16167 2024

M. Cirant, A. R. Mészáros:
Long Time Behavior and Stabilization for Displacement Monotone Mean Field Games
(Submitted Paper) 2024