3 papers
math.AP2026
A Monotone Operator Approach to Separable Mean-Field Games with Mixed Boundary Conditions
AbdulRahman M. Alharbi, Diogo Gomes
We study a class of local, first-order, stationary mean-field games (MFGs) on bounded domains with nonstandard mixed boundary conditions: prescribed inflow on and a relaxed S…
math.AP2026★ 1 cited
A First-Order Mean-Field Game on a Bounded Domain with Mixed Boundary Conditions
AbdulRahman M. Alharbi, Yuri Ashrafyan, Diogo Gomes
Entry-exit dynamics are crucial in modeling crowd movement. Here, we present a novel first-order, stationary mean-field game model on a bounded domain that accurately captures thes…
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…