Papers:

[11] G. Palatucci, M. Piccinini, Mixed local and nonlocal eigenvalues. Nonlinear Anal. 262, 113922 (2026). [preprint][journal]

[10] F. Anceschi, M. Piccinini, Boundedness estimates for nonlinear nonlocal Kolmogorov-Fokker-Planck equations. NoDEA, 32, no. 121,  (2025). [preprint][journal]

[9] F. De Pas, S. Dipierro, M. Piccinini, E. Valdinoci, Heteroclinic connections for fractional Allen-Cahn equations with degenerate potentials.  Ann. Sc. Norm. Super. Pisa Cl. Sci. (2025) [preprint][journal]

[8] M. Manfredini, M. Piccinini, S. Polidoro, The Dirichlet problem for a family of totally degenerate differential operators. J. Evol. Equ. 25, 84 (2025). [preprint][journal]

[7]  G. Palatucci, M. Piccinini, L. Temperini, Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group. Adv. Calc. Var., 18, no 3, 731-754  (2025). [preprint][journal]

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

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

[4] C. De Filippis, M. Piccinini, Borderline global regularity for nonuniformly elliptic systems. Int. Math. Res. Notices (IMRN), no. 20, 17324–17376 (2023). [preprint][journal]

[3] M. Manfredini, G. Palatucci, M. Piccinini, S. Polidoro, Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group. J. Geom. Anal. 33, no. 3, Art. 77 (2023). [preprint][journal]

[2] G. Palatucci, M. Piccinini, Nonlocal Harnack inequalities in the Heisenberg group. Calc. Var. & PDE 61 (5), (2022). [preprint][journal]

[1] M. Piccinini, The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group. Nonlinear Anal. 222, 112966, (2022). [preprint][journal]