48 citations · 152 across the 34 of their papers we have counts for
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math.AP2014★ 5 cited
Selection problems for a discounted degenerate viscous Hamilton--Jacobi equation
Hiroyoshi Mitake, Hung V. Tran
We prove that the solution of the discounted approximation of a degenerate viscous Hamilton--Jacobi equation with convex Hamiltonians converges to that of the associated ergodic pr…
math.AP2014★ 7 cited
Existence for stationary mean field games with quadratic Hamiltonians with congestion
Diogo A. Gomes, Hiroyoshi Mitake
In this paper, we investigate the existence and uniqueness of solutions to a stationary mean field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadr…
math.AP2014
Weakly coupled systems of the infinity Laplace equations
Hiroyoshi Mitake, Hung Vinh Tran
We derive the weakly coupled systems of the infinity Laplace equations via a tug-of-war game introduced by Peres, Schramm, Sheffield, and Wilson (2009). We establish existence, uni…