20 citations · 22 across the 4 of their papers we have counts for
4 papers
-regularity for degenerate diffusion equations
Pêdra Andrade, Daniel Pellegrino, Edgard A. Pimentel +1
We prove that any solution of a degenerate elliptic PDE is of class , provided the inverse of the equation's degeneracy law satisfies an integrability criterium, viz. $σ^{-1}…
Singular mean-filed games
Marco Cirant, Diogo A. Gomes, Edgard A. Pimentel +1
Here, we prove the existence of smooth solutions for mean-field games with a singular mean-field coupling; that is, a coupling in the Hamilton-Jacobi equation of the form $g(m)=-m^…
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…
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…