33 citations · 52 across the 31 of their papers we have counts for
6 papers · 1 filter
Maximal -regularity for parabolic Hamilton-Jacobi equations and applications to Mean Field Games
Marco Cirant, Alessandro Goffi
In this paper we investigate maximal -regularity for time-dependent viscous Hamilton-Jacobi equations with unbounded right-hand side and superlinear growth in the gradient. Ou…
A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds
Alessandro Goffi, Francesco Pediconi
We investigate strong maximum (and minimum) principles for fully nonlinear second order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate sc…
A policy iteration method for Mean Field Games
Simone Cacace, Fabio Camilli, Alessandro Goffi
The policy iteration method is a classical algorithm for solving optimal control problems. In this paper, we introduce a policy iteration method for Mean Field Games systems, and w…
Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I. The Heisenberg group
Martino Bardi, Alessandro Goffi
This paper studies Liouville properties for viscosity sub- and supersolutions of fully nonlinear degenerate elliptic PDEs, under the main assumption that the operator has a family…
Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group
Alessandro Goffi
We prove new (sharp) Liouville-type properties via degenerate Hadamard three-sphere theorems for fully nonlinear equations structured over Heisenberg vector fields. As model exampl…
On the problem of maximal -regularity for viscous Hamilton-Jacobi equations
Marco Cirant, Alessandro Goffi
For , we prove that maximal regularity of type holds for periodic solutions to in , under the (sharp) assumption $q > d \frac{γ-1}γ…