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math.AP2014★ 20 cited
Local regularity for mean-field games in the whole space
Diogo Aguiar Gomes, Edgard Almeida Pimentel
In this paper, we investigate the Sobolev regularity for mean-field games in the whole space $\Rr^d$. This is achieved by combining integrability for the solutions of the Fokker-Pl…
math.AP2014★ 1 cited
Time dependent mean-field games with logarithmic nonlinearities
Diogo Aguiar Gomes, Edgard Almeida Pimentel
In this paper, we prove the existence of classical solutions for time dependent mean-field games with a logarithmic nonlinearity and subquadratic Hamiltonians. Because the logarith…