3 papers
math.AP2026
Existence and Structure for First-Order Time-Dependent Mean-Field Games with Local Couplings
Diogo Gomes, Melih Ucer
We develop a Banach-space framework for first-order time-dependent mean-field games with local couplings, using monotone operator theory and low-order -Laplacian regularization…
math.AP2026
Solving Mean-Field Games with Monotonicity Methods in Banach Spaces
Rita Ferreira, Diogo Gomes, Melih Ucer
This paper develops a unified framework for proving the existence of solutions to stationary first-order mean-field games (MFGs) based on the theory of monotone operators in Banach…
math.AP2025
Regularity for Weak Solutions to First-Order Local Mean Field Games
Abdulrahman Alharbi, Diogo Gomes, Giuseppe Di Fazio +1
We establish interior regularity results for first-order, stationary, local mean-field game (MFG) systems. Specifically, we study solutions of the coupled system consisting of a Ha…