M. Carducci:
Epiperimetric inequalities in the obstacle problem for the fractional Laplacian
Calc. Var. Partial Differential Equations 2023

M. Carducci:
Optimal regularity of the thin obstacle problem by an epiperimetric  inequality
Ann. Mat. Pura Appl. 2023

M. Carducci, R. Colombo:
Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian
(preprint) http://arxiv.org/abs/2412.16066 2024

M. Carducci, B. Velichkov:
An epiperimetric inequality for odd frequencies in the thin obstacle  problem
J. Funct. Anal. 2024

M. Carducci, B. Velichkov:
Existence and regularity in the fully nonlinear one-phase free boundary
  problem
(preprint) http://arxiv.org/abs/2501.12101 2025

G. Bevilacqua, M. Carducci:
Free boundary regularity for a tumor growth model with obstacle
(preprint) http://arxiv.org/abs/2507.02837 2025

M. Carducci, G. Tortone:
Smoothness and stability in the Alt-Phillips problem
(preprint) http://arxiv.org/abs/2507.10336 2025