Publications

Preprints

  1. Harnack inequalities for kinetic integral equations, (with F. Anceschi, G. Palatucci) 2024
  2. Regularity for multi-phase problems at nearly linear growth, (with F. De Filippis) 2024
  3. Struwe’s Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group, (with G. Palatucci, L. Temperini) 2023
  4. Asymptotic approach to singular solutions for the CR Yamabe equation, and a conjecture by H. Brezis and LA Peletier in the Heisenberg group, (with G. Palatucci) 2023
  5. The Dirichlet problem for a family of totally degenerate differential operators, (with M. Manfredini, S. Polidoro) 2021

Publications

  1. A limiting case in partial regularity for quasiconvex functionals, Math. Eng., 6, no. 6, 1–27 (2024).
  2. Nonlinear fractional equations in the Heisenberg group, (with G. Palatucci) Bruno Pini Math. Anal. Seminar, 14, no. 2, 164–201 (2023)
  3. Borderline global regularity for nonuniformly elliptic systems, (with C. De Filippis) Int. Math. Res. Notices (IMRN), no. 20, 17324–17376 (2023).
  4. Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group, (with M. Manfredini, G. Palatucci, S. Polidoro) J. Geom. Anal. 33, , no. 3, Art. 77 (2023).
  5. Nonlocal Harnack inequalities in the Heisenberg group, (with G. Palatucci) Calc. Var. Partial Differential Equations 61 (5), (2022)
  6. The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group, Nonlinear Anal. 222, 112966, (2022)

Chapters

  1. Global Compactness, subcritical approximations of Sobolev quotient, and a related concentration result in the Heisenberg group, (with G. Palatucci, L. Temperini). Trends in Mathematics, Vol. 2, Springer-Birkhäuser, Basel (2024)
  2. New perspectives on recent trends for Kolmogorov operators, (with F. Anceschi, A. Rebucci) Springer INdAM Series (2024)