Optimal planning in Habit formation Models with Multiple Goods, M. Bambi, D. Ghilli, F. Gozzi, M. Leocata, Decisions in Economics and Finance, 2024.
Habits and demand changes after COVID-19, M. Bambi, D. Ghilli, F. Gozzi, M. Leocata, Journal of Mathematical Economics, Volume 110, doi.org/10.1016/j.jmateco.2023.102933, 2024.
A mean field game model for COVID-19 with human capital accumulation, D. Ghilli, C. Ricci, G. Zanco, Economic Theory, DOI: 10.1007/s00199-023-01505-0, 2023.
Rate of convergence for perturbation of Hamilton-Jacobi equations in unbounded spaces, D. Ghilli, C. Marchi, Journal of Mathematical Analysis and Applications, Vol 526, Issue 1, DOI:10.1016/j.jmaa.2023.127225, 2023.
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes, D. Ghilli, D. Lorenz, E. Resmerita, Optimization 71 (4), 1117-1149, DOI: 10.1080/02331934.2021.2011869, 2022.
Periodic homogenization for weakly elliptic HJB, with critical fractional diffusion, A. Ciomaga, D. Ghilli, E. Topp, Communications in Partial Differential Equations 47 (1), 1-38, DOI: 10.1080/03605302.2021.1941108, 2022.
Existence and non existence for time-dependent mean field games with strong aggregation, M. Cirant, D. Ghilli, Mathematische Annalen, DOI: 10.1007/s00208-021-02217-3, 2021.
Inverse problem in breaking line identification by shape optimization, D. Ghilli, V. Kovtunenko, K. Kunisch, Journal of inverse and ill-posed problems 28 n.1,DOI: 10.1515/jiip-2019-0047, 2019.
Monotone schemes for nonsmooth monconvex optimization with application to fracture mechanics, D. Ghilli, K. Kunisch, JOTA, DOI: 10.1007/s10957-019-01545-4, 2019.
On the monotone and primal dual active set schemes for l^p-type problems, p in (0,1], D. Ghilli, K. Kunisch, Computational Optimization and Applications 72 (1), pag 45-85, DOI 10.1007/s10589-018-0036-9, 2019.
Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions, D. Ghilli, Z. Rao, H. Zidani, ESAIM:COCV 25 (79), DOI 10.1051/cocv/2018072, 2018.
Viscosity methods for large deviations estimates of multiscale stochastic processes, D. Ghilli, ESAIM:COCV 24, 605-637, DOI 10.1051/cocv/2017051, 2018.
On Neumann problems for nonlocal Hamilton-Jacobi equations with dominating gradient terms, D. Ghilli, Calculus of Variations and Partial Differential Equations 56:129, DOI 10.1007/s00526-017-1225-6, 2017.
Quantitative Borell-Brascamp-Lieb inequalities for compactly supported power concave functions (and some applications), D. Ghilli, P. Salani, Journal of Convex Analysis, 24 (3), 857-888, 2017.
Large deviations for some fast stochastic volatility models by viscosity methods, M. Bardi, A. Cesaroni, D. Ghilli, DCDS-A, 35 (9), DOI:10.3934/dcds.2015.35.3965, 2015.
Stability of isoperimetric type inequalities for some Monge-Ampère functionals, D. Ghilli, P. Salani, Annali di Matematica pura ed applicata, 193:643-661, DOI 10.1007/s10231-012-0295-5, 2014.
A monotone scheme for sparsity optimization in l^p with p in (0,1], D. Ghilli, K. Kunisch, IFAC PapersOnLine, 50-1, 494-499, 2017.
Linear quadratic Mean Field Games in Hilbert spaces, S. Federico, D. Ghilli, F. Gozzi, submitted to SIAM Journal on Mathematical Analysis.
Linear quadratic Nash systems and Master equations in Hilbert spaces, D. Ghilli, M. Ricciardi, preprint 2025.
The convergence problem for linear quadratic Mean Field Games in Hilbert spaces, D. Ghilli, M. Ricciardi, work in progress.
A Mean Field Game model with spatial interactions in the human capital, D. Ghilli, F. Gozzi, C. Ricci, G. Zanco, work in progress.
Mean field control for a growth model with the Cobb-Douglas production function, D. Ghilli, M. Leocata, D. Tonon, work in progress.
Understading quality of the environment in economic models: act local, think global? D. Ghilli, F. Gozzi, M. Leocata, E. Augeraud-Véron, preprint 2025.
Economic models for the quality of the environment: mean field game and mean field control approaches, D. Ghilli, F. Gozzi, M. Leocata, E. Augeraud-Véron, work in progress.
Mean Field Game for a model with jumps in capital and utility depending on the mean of habits, G. Fabbri, D. Ghilli, E. Augeraud-Véron, work in progress.