The vanishing discount problem and viscosity Mather measures. Part 1: The problem on a torus H Ishii, H Mitake, HV Tran Journal de Mathématiques Pures et Appliquées 108 (2), 125-149, 2017 | 58 | 2017 |

Existence for stationary mean-field games with congestion and quadratic Hamiltonians DA Gomes, H Mitake Nonlinear Differential Equations and Applications NoDEA 22, 1897-1910, 2015 | 55 | 2015 |

A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians F Cagnetti, D Gomes, H Mitake, HV Tran Annales de l'Institut Henri Poincaré C, Analyse non linéaire 32 (1), 183-200, 2015 | 53 | 2015 |

Selection problems for a discount degenerate viscous Hamilton–Jacobi equation H Mitake, HV Tran Advances in Mathematics 306, 684-703, 2017 | 51 | 2017 |

Asymptotic solutions of Hamilton-Jacobi equations with state constraints H Mitake Applied Mathematics and Optimization 58, 393-410, 2008 | 50 | 2008 |

Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians H Ishii, H Mitake Indiana University mathematics journal, 2159-2183, 2007 | 49 | 2007 |

The vanishing discount problem and viscosity Mather measures. Part 2: Boundary value problems H Ishii, H Mitake, HV Tran Journal de Mathématiques Pures et Appliquées 108 (3), 261-305, 2017 | 40 | 2017 |

Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampere Equations NQ Le, H Mitake, HV Tran Springer, 2017 | 39 | 2017 |

Homogenization of weakly coupled systems of Hamilton–Jacobi equations with fast switching rates H Mitake, HV Tran Archive for Rational Mechanics and Analysis 211, 733-769, 2014 | 34 | 2014 |

The large-time behavior of solutions of the Cauchy-Dirichlet problem for Hamilton-Jacobi equations H Mitake Nonlinear Differential Equations and Applications NoDEA 15, 347-362, 2008 | 32 | 2008 |

Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton–Jacobi equations H Mitake, HV Tran Asymptotic Analysis 77 (1-2), 43-70, 2012 | 31 | 2012 |

The selection problem for discounted Hamilton–Jacobi equations: some non-convex cases DA Gomes, H Mitake, HV Tran Journal of the Mathematical Society of Japan 70 (1), 345-364, 2018 | 28 | 2018 |

A Lagrangian Approach to Weakly Coupled Hamilton--Jacobi Systems H Mitake, A Siconolfi, HV Tran, N Yamada SIAM Journal on Mathematical Analysis 48 (2), 821-846, 2016 | 28 | 2016 |

A dynamical approach to the large-time behavior of solutions to weakly coupled systems of Hamilton–Jacobi equations H Mitake, HV Tran Journal de Mathématiques Pures et Appliquées 101 (1), 76-93, 2014 | 27 | 2014 |

On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms Y Giga, H Mitake, HV Tran SIAM journal on Mathematical Analysis 48 (5), 3515-3546, 2016 | 26 | 2016 |

Rate of convergence in periodic homogenization of Hamilton–Jacobi equations: the convex setting H Mitake, HV Tran, Y Yu Archive for Rational Mechanics and Analysis 233, 901-934, 2019 | 25 | 2019 |

Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations Y Giga, Q Liu, H Mitake Transactions of the American Mathematical Society 366 (4), 1905-1941, 2014 | 25 | 2014 |

Large time behavior of solutions of Hamilton–Jacobi equations with periodic boundary data H Mitake Nonlinear Analysis: Theory, Methods & Applications 71 (11), 5392-5405, 2009 | 24 | 2009 |

Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton–Jacobi equations with noncoercive Hamiltonians Y Giga, Q Liu, H Mitake Journal of Differential Equations 252 (2), 1263-1282, 2012 | 23 | 2012 |

On the large time behavior of solutions of Hamilton–Jacobi equations associated with nonlinear boundary conditions G Barles, H Ishii, H Mitake Archive for Rational Mechanics and Analysis 204 (2), 515-558, 2012 | 22 | 2012 |