Publications and preprints

Recent papers and preprints are available on the preprint server cvgmt, or arxiv.

Catalogo IRIS di Ateneo.

Preprint

A. Cesaroni, I. Fragalá, M. Novaga Lattice tilings minimizing nonlocal perimeters, preprint 2023.

C. Bernardini, A. Cesaroni, Boundary value problems for Choquard equations, preprint, 2023.

A. Cesaroni, M. Novaga ,Minimal periodic foams with equal cells preprint 2023.

A. Cesaroni, M. Novaga, Stability of the ball under volume preserving fractional mean curvature flow, preprint 2022, to appear in Adv. Calc. Var.

Published papers

2024

A. Cesaroni, M. Novaga Periodic partitions with minimal perimeter, Nonlinear Anal. 243, 2024, 113522.

A. Cesaroni, M. Cirant Stationary equilibria and their stability in a Kuramoto MFG with strong interaction, Comm. Partial Differential Equations 49, no 1–2, 121-147, 2024.

2023

C. Bernardini, A. Cesaroni, Ergodic Mean-Field Games with aggregation of Choquard-type, J. Differential Equations 364, 296-335, 2023.

A. Cesaroni, M. Novaga, Fractional mean curvature flow of Lipschitz graphs , Manuscripta Math. 170, 427-451, 2023.

2022

A. Cesaroni, H. Kröner, M. Novaga, Graphical translators for anisotropic and crystalline mean curvature flow , J. Math. Anal. Appl. 514 no2, Article 126314.

A. Cesaroni, M. Novaga, K mean-convex and K-outward minimizing sets , Interfaces Free Bound. 24 no 1, 35-61, 2022.

2021

A. Cesaroni, H. Kröner, M. Novaga, Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions , ESAIM Control Optim. Calc. Var. 27, paper no 97. 17 pp, 2021.

A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type, Ann. Mat. Pura Appl. 200, 1999-2041, 2021.

A. Cesaroni, V. Pagliari Convergence of nonlocal geometric flows to anisotropic mean curvature motion, Discrete Contin. Dyn. Syst. A, 41, no 10, 4987-5008, 2021.

A. Cesaroni, L. De Luca, M. Novaga, M. Ponsiglione, Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows, Comm. Partial Differential Equations, 46, no 7, 1344-1371, 2021.

A. Cesaroni, M. Cirant Brake orbits and heteroclinic connections for first order Mean Field Games, Trans. Amer. Math. Soc., 374, no 7, 5037-5070, 2021.

A. Cesaroni, M. Cirant 1-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit, Nonlinearity, 34, no 3, 1408-1447, 2021.

F. Ancona, A. Cesaroni, G. M. Coclite, M. Garavello, On optimization of traffic flow performance for conservation laws on networks, Minimax Theory Appl., 6, no 2, 205-226, 2021.

2020

M. Bardi, A. Cesaroni, E. Topp Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms, Proc. Roy. Soc. Edinburgh Sect. A, 150 (6), 3028-3059, 2020.

A. Cesaroni, M. Novaga Symmetric self-shrinkers for the fractional mean curvature flow, J. Geometric Anal. 30, 3698-3715, 2020.

A. Cesaroni, M. Novaga Nonlocal minimal clusters in the plane, Nonlinear Analysis 199, 2020.

A. Cesaroni, M. Novaga Second-order asymptotics of the fractional perimeter as s→1, Mathematics in Engineering 2, no 3, 512-526.

2019

A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci Minimizers of the p-oscillation functional, Discrete Contin. Dyn. Syst. A. 39, no 12, 6785-6799.

A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci Fattening and nonfattening phenomena for planar nonlocal curvature flows, Math. Ann., 375 (2019), no 1-2. 687-736.

A. Cesaroni, M. Cirant Introduction to variational methods for viscous ergodic Mean-Field Games with local coupling, Springer INdAM series, Contemporary Research in Elliptic PDEs and Related Topics, 221-246, 2019

A. Cesaroni, M. Cirant, S. Dipierro, M. Novaga, E. Valdinoci On stationary fractional Mean Field Games, J. Math. Pures Appl., 122 (2019), 1-22.

A. Cesaroni, M. Cirant Concentration of ground states in stationary Mean-Field Games systems, Anal. PDE., 12 (2019), no 3, 737-787.

2018

F. Camilli, S. Cacace, A. Cesaroni, C. Marchi An ergodic problem for Mean Field Games: qualitative properties and numerical simulations, Minimax Theory Appl. 3 (2018), no 2, 211-226.

F. Ancona, A. Cesaroni, G.M. Coclite, M. Garavello On the optimization of conservation law models at a junction with inflow and flow distribution controls, SIAM J. Control Optim., 56 (2018), no 5, 3370-3403.

A. Cesaroni, M. Novaga The isoperimetric problem for nonlocal perimeters, Discrete Contin. Dyn. Syst. Ser. S. 11 (2018), no 3, 425-440.

A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci Minimizers for nonlocal perimeters of Minkowski type, Calc. Var. Partial Differential Equations 57 (2018), n 64.

2017

A. Cesaroni, M. Novaga Isoperimetric problems for a nonlocal perimeter of Minkowski type, Geometric Flows 2 (2017), 86-93.

A. Cesaroni, N. Dirr and M. Novaga, Homogenization of a semilinear heat equation , J. Éc. polytech. Math. 4 (2017), 633-660.

A. Cesaroni, M. Novaga, Volume constrained minimizers of the fractional perimeter with a potential energy, Discrete Contin. Dyn. Syst. Ser. S. 10 (2017), no 4, 715-727.

2016

M. Bardi, A. Cesaroni Liouville properties and critical value of fully nonlinear elliptic operators, J. Differential Equations 261 (2016), no 7, 3755-3799.

A. Cesaroni, N. Dirr, C. Marchi, Homogenization of a mean field game system in the small noise limit, SIAM J. Math. Anal. 48 (2016), no 4, 2701-2729.

A. Cesaroni, N. Dirr and M. Novaga, Asymptotic speed of propagation for a viscous semilinear parabolic equation, ESAIM Proceedings and Surveys, vol. 54 (2016), 45-53.

M. Bardi, A. Cesaroni, L. Rossi, Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control, ESAIM Control Optim. Calc. Var. 22 (2016), no 3, 842-861.

D. Castorina, A. Cesaroni, L. Rossi, Large time behavior of solutions to a degenerate parabolic Hamilton-Jacobi-Bellman equation, Comm. Pure Applied Analysis 15 (2016), n. 4, 1251-1263.

M. Bardi, A. Cesaroni, A. Scotti , Convergence in Multiscale Financial Models with Non-Gaussian Stochastic Volatility, ESAIM Control Optim. Calc. Var. 22 (2016), no 2, 500-518.

2015

M. Bardi, A. Cesaroni, D. Ghilli, Large deviations for some fast stochastic volatility models by viscosity methods , Discrete Contin. Dyn. Syst. A. 35 (2015), n. 9, 3965-3988.

A. Cesaroni, C.B. Muratov, M. Novaga, Front propagation in geometric and phase field models of stratified media , Arch. Ration. Mech. Anal. 216 (2015), n. 1, 153-191.

2014

M. Basei, A. Cesaroni, T. Vargiolu, Optimal exercise of swing contracts in energy markets: an integral constrained stochastic optimal control problem , SIAM J. Finan. Math. 5 (2014), no 1, 581-608.

A. Cesaroni, M. Novaga, E. Valdinoci, A symmetry result for the Ornstein-Uhlenbeck operator, Discrete Contin. Dyn. Syst. 34 (2014), no 6, 2451-2467.

A. Cesaroni, C. Muratov and M. Novaga, Asymptotic behavior of attractors for inhomogeneous Allen-Cahn equations, Mathematical Analysis of Pattern Formation Arising in Nonlinear Phenomena?, RIMS Kokyuroku, vol. 1924 (2014), 97-114.

2013

A. Cesaroni, M. Novaga, Long-time behavior of the mean curvature flow with periodic forcing, Comm. Partial Differential Equations 38 (2013), no 5, 780-801.

A. Cesaroni, M. Novaga, A. Pinamonti, One-dimensional symmetry for semilinear equations with unbounded drift, Commun. Pure Appl. Anal. 12 (2013), no 5, 2203-2211.

2011

A. Cesaroni, M. Novaga, E. Valdinoci, Curve shortening flow in heterogeneous media. Interfaces Free Bound. 13 (2011), no. 4, 485-505.

G. Barles, A. Cesaroni, M. Novaga, Homogenization of fronts in highly heterogeneous media. SIAM J. Math. Anal. 43 (2011), no. 1, 212-227.

F.Camilli, A. Cesaroni, C. Marchi, Homogenization and vanishing viscosity in fully nonlinear elliptic equations: rate of convergence estimates. Adv. Nonlinear Stud. 11 (2011), 405-428.

M. Bardi, A. Cesaroni, Optimal control with random parameters: a multiscale approach. Eur. J. Control. 17 (2011), no. 1, 30-46.

2010

M. Bardi, A. Cesaroni, L. Manca, Convergence by viscosity methods in multiscale financial models with stochastic volatility, SIAM J. Financial Math. 1 (2010), 230-265.

2009

F. Camilli, A. Cesaroni, Singular perturbations of weakly coupled systems of Hamilton-Jacobi equations Asymptot. Anal. 65 (2009), no. 3-4, 125–146.

F. Camilli, A. Cesaroni, A. Siconolfi, Random perturbed dynamical systems and Aubry-Mather theory. Int. J. Dyn. Syst. Differ. Equ. 2 (2009), no. 3-4, 139-169.

2008

M. Bardi, A. Cesaroni, Almost sure properties of controlled diffusions and worst case properties of deterministic systems. ESAIM Control Optim. Calc. Var. 14 (2008), no. 2, 343-355.

2007

F. Camilli, A. Cesaroni, A note on singular perturbation problems via Aubry-Mather theory. Discrete Contin. Dyn. Syst. 17 (2007), no. 4, 807-819.

2006

A. Cesaroni, A converse Lyapunov theorem for almost sure stabilizability. Systems Control Lett. 55 (2006), no. 12, 992–998.

F. Camilli, A. Cesaroni, L. Gruene, F. Wirth, Stabilization of controlled diffusions via Zubov’s method. Stoch. Dyn. 6 (2006), no. 3, 373-393.

A. Cesaroni, Lyapunov Stabilizability of Controlled Diffusions via a Superoptimality Principle for Viscosity Solutions Appl. Math. Optim. 53 (2006), no. 1, 1-29.

2005

M. Bardi, A. Cesaroni, Almost sure stability of controlled degenerate diffusions. SIAM J. Control Optim. 44 (2005), no. 1, 75-98.