Publications (by area)

• Integro-differential equations  

1. De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions. With F. Anceschi and G. Palatucci. Submitted.  [preprint]                                                                                                                       

2. Boundedness estimates for nonlinear nonlocal Kolmogorov-Fokker-Planck equations. With F. Anceschi. NoDEA, 32, 121,  (2025) [journal]                                                                                                                                                                                     

3. 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]                                                                                                                                                                                                                              

• Nonuniformly elliptic equations and variational integrals

1.  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]                                                                        

2.  Regularity for multi-phase problems at nearly linear growth. With F. De Filippis. J. Differential Equations, 410, 832-868 (2024).  [journal]                                                

3. Borderline global regularity for nonuniformly elliptic systems.  With C. De Filippis. Int. Math. Res. Notices, no. 20, 17324–17376 (2023). [journal]

•  Variational problems and PDEs on Carnot groups

1.  Asymptotic approach to singular solutions for the CR Yamabe equation. With G. Palatucci. Submitted. [preprint]

2. The Dirichlet problem for a family of totally degenerate differential operators.  With M. Manfredini and S. Polidoro. J. Evol. Equations, 25, 84 (2025). [journal]                                                                            

3. 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]

4. 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]                                                                                                                                

5. 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.                             

6. 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.        

•  Various 

1. Mixed local and nonlocal eigenvalues.  With G. Palatucci. Nonlinear Anal. 262, 113922 (2026). [journal]

2. A limiting case in partial regularity for quasiconvex functionals.  Math. Eng. 6, 1–27 (2024). [journal]