Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Cirant, Marco"'
We address the problem of regularity of solutions $u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of $N$ equations, which describe closed-loop equilibria of some $N$-player differential games with quadratic Lagrangian in the ve
Externí odkaz:
http://arxiv.org/abs/2406.10822
This paper is devoted to the study of Mean-field Games (MFG) systems in the mass critical exponent case. We firstly establish the optimal Gagliardo-Nirenberg type inequality associated with the potential-free MFG system. Then, under some mild assumpt
Externí odkaz:
http://arxiv.org/abs/2405.05484
We identify structural assumptions which provide solvability of the Nash system arising from a linear-quadratic closed-loop game, with stable properties with respect to the number of players. In a setting of interactions governed by a sparse graph, b
Externí odkaz:
http://arxiv.org/abs/2401.06534
Autor:
Cesaroni, Annalisa, Cirant, Marco
Recently, R. Carmona, Q. Cormier, and M. Soner proposed a Mean Field Game (MFG) version of the classical Kuramoto model, which describes synchronization phenomena in a large population of rational interacting oscillators. The MFG model exhibits sever
Externí odkaz:
http://arxiv.org/abs/2307.09305
We present some recent advances in the productive and symbiotic interplay between general potential theories (subharmonic functions associated to closed subsets $\mathcal{F} \subset \mathcal{J}^2(X)$ of the 2-jets on $X \subset \mathbb{R}^n$ open) an
Externí odkaz:
http://arxiv.org/abs/2303.16735
We investigate the existence of solutions to viscous ergodic Mean Field Games systems in bounded domains with Neumann boundary conditions and local, possibly aggregative couplings. In particular we exploit the associated variational structure and sea
Externí odkaz:
http://arxiv.org/abs/2301.11692
This paper studies global a priori gradient estimates for divergence-type equations patterned over the $p$-Laplacian with first-order terms having polynomial growth with respect to the gradient, under suitable integrability assumptions on the source
Externí odkaz:
http://arxiv.org/abs/2211.03760
Autor:
Cirant, Marco
We show in this paper that maximal $L^q$-regularity for time-dependent viscous Hamilton-Jacobi equations with unbounded right-hand side and superquadratic $\gamma$-growth in the gradient holds in the full range $ q > (N+2)\frac{\gamma-1}\gamma$. Our
Externí odkaz:
http://arxiv.org/abs/2208.00082
Autor:
Cirant, Marco, Verzini, Gianmaria
We study the local H\"older regularity of strong solutions $u$ of second-order uniformly elliptic equations having a gradient term with superquadratic growth $\gamma > 2$, and right-hand side in a Lebesgue space $L^q$. When $q > N\frac{\gamma-1}{\gam
Externí odkaz:
http://arxiv.org/abs/2203.06092