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On some singular mean-field games

M. Cirant is partially supported by the Fondazione CaRiPaRo Project "Nonlinear Partial Differential Equations: Asymptotic Problems and Mean-Field Games" and the INdAM-GNAMPA project "Fenomeni di segregazione in sistemi stazionari di tipo Mean Field Games a più popolazioni".
D. Gomes was partially supported by KAUST baseline and start-up funds.
E. Pimentel was partially supported by FAPESP (Grant 2015/13011-6) and PUC-Rio baseline funds.
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