4 citations · 10 across the 9 of their papers we have counts for
19 papers
Local Hölder and maximal regularity of solutions of elliptic equations with superquadratic gradient terms
Marco Cirant, Gianmaria Verzini
We study the local Hölder regularity of strong solutions of second-order uniformly elliptic equations having a gradient term with superquadratic growth , and right-hand s…
Long time behaviour and turnpike solutions in mildly non-monotone mean field games
Marco Cirant, Alessio Porretta
We consider mean field game systems in time-horizon , where the individual cost functional depends locally on the density distribution of the agents, and the Hamiltonian is…
Existence and non-existence for time-dependent mean field games with strong aggregation
Marco Cirant, Daria Ghilli
We investigate the existence of classical solutions to second-order quadratic Mean-Field Games systems with local and strongly decreasing couplings of the form , ,…
Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs
Marco Cirant, F. Reese Harvey, H. Blaine Lawson +1
We prove comparison principles for nonlinear potential theories in euclidian spaces in a very straightforward manner from duality and monotonicity. We shall also show how to deduce…
Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient
Marco Cirant, Kevin R. Payne
The validity of the comparison principle in variable coefficient fully nonlinear gradient free potential theory is examined and then used to prove the comparison principle for full…
Splitting methods and short time existence for the master equations in mean field games
Pierre Cardaliaguet, Marco Cirant, Alessio Porretta
We develop a splitting method to prove the well-posedness, in short time, of solutions for two master equations in mean field game (MFG) theory: the second order master equation, d…