Publications
Publications
Asymptotic approach to singular solutions for the CR Yamabe equation. With G. Palatucci. Math. Ann., to appear [preprint]
Bounded minimizers of double phase problems at nearly linear growth. With C. De Filippis and F. De Filippis. J. European Math. Soc. (JEMS), to appear. [preprint]
Mixed local and nonlocal eigenvalues. With G. Palatucci. Nonlinear Anal. 262, 113922 (2026). [journal]
Boundedness estimates for nonlinear nonlocal Kolmogorov-Fokker-Planck equations. With F. Anceschi. NoDEA, 32, 121, (2025) [journal]
The Dirichlet problem for a family of totally degenerate differential operators. With M. Manfredini and S. Polidoro. J. Evol. Equations, 25, 84 (2025). [journal]
Heteroclinic connections for fractional Allen-Cahn equations with degenerate potentials. With F. De Pas, S. Dipierro and E. Valdinoci. Ann. SNS Pisa Cl. Sci. (2025) [journal]
Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group. With G. Palatucci and L. Temperini. Adv. Calc. Var. 18, no 3, 731-754 (2025). [journal]
Regularity for multi-phase problems at nearly linear growth. With F. De Filippis. J. Differential Equations, 410, 832-868 (2024). [journal]
A limiting case in partial regularity for quasiconvex functionals. Math. Eng. 6, 1–27 (2024). [journal]
Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group. With M. Manfredini, G. Palatucci and S. Polidoro. J. Geom. Anal. 33, no. 3, Art. 77 (2023). [journal]
Borderline global regularity for nonuniformly elliptic systems. With C. De Filippis. Int. Math. Res. Notices, no. 20, 17324–17376 (2023). [journal]
Nonlocal Harnack inequalities in the Heisenberg group. With G. Palatucci. Calc. Var. & PDE 61 (5), (2022). [journal][postprint] Note: Compared to the printed version, in the postprint one we improved the results removing the bound on the integrability exponent.
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group. Nonlinear Anal. 222, 112966, (2022). [journal][postprint] Note: Compared to the printed version, in the postprint one we improved the results removing the bound on the integrability exponent.
Preprints
De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions. With F. Anceschi and G. Palatucci. Submitted. (2025) [preprint]
Chapters & surveys
Global Compactness, subcritical approximation of the Sobolev quotient, and a related concentration result in the Heisenberg group. with G. Palatucci and L. Temperini. Trends in Mathematics, Vol. 2, Springer-Birkh ̈auser, Basel (2024). [journal]
New perspectives on recent trends for Kolmogorov operators. With F. Anceschi and A. Rebucci. Springer INdAM Series, (2024). [journal]
Nonlinear fractional equations in the Heisenberg group. With G. Palatucci. Bruno Pini Math. Anal. Semin. 14, no. 2, 163–200 (2023). [journal]