Tenure-Track Researcher (RTT), Università degli studi di Roma Tor Vergata

Email: nicola.picenni AT mat.uniroma2.it

Home-page: https://sites.google.com/view/nicola-picenni

arxiv id: 0009-0002-5669-1210

orcid id: 0009-0002-5669-1210

Available papers (17):

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• M. Caselli - N. Picenni (J. Differential Equations)
  Saddle solution to the complex Ginzburg-Landau system in three dimensions (2026)
• N. Picenni (preprint)
  Lower bounds and Poincaré inequality for the Brezis-Seeger-Van Schaftingen-Yung functionals (2026)
• M. Gobbino - N. Picenni (Calc. Var. PDE)
  Symmetry breaking for local minimizers of a free discontinuity problem (2026)
• M. Caselli - M. Freguglia - N. Picenni (Preprint)
  Another look at a notion of fractional mass in codimension two (2026)
• M. Gobbino - N. Picenni (J. Funct. Anal.)
  Gamma-liminf estimate for a class of non-local approximations of Sobolev and BV norms (2025)
• M. Gobbino - N. Picenni (Calc. Var. PDE)
  Multi-scale analysis of minimizers for a second order regularization of the Perona-Malik functional (2025)
• M. Caselli - M. Freguglia - N. Picenni (Accepted Paper: Comm. Partial Differential Equations)
  Coercivity and Gamma-convergence of the $p$-energy of sphere-valued Sobolev maps (2025)
• M. Caselli - M. Freguglia - N. Picenni (Accepted Paper: Ann. Inst. H. Poincaré C Anal. Non Linéaire)
  A nonlocal approximation of the area in codimension two (2024)
• M. Gobbino - N. Picenni (SIAM J. Math. Anal.)
  Monotonicity properties of limits of solutions to the semi-discrete scheme for the Perona-Malik equation (2024)
• N. Picenni (J. Funct. Anal.)
  New estimates for a class of non-local approximations of the total variation (2024)
• N. Picenni (ESAIM: COCV)
  Staircasing effect for minimizers of the one-dimensional discrete Perona-Malik functional (2024)
• M. Gobbino - N. Picenni (Commun. Contemp. Math.)
  On the characterization of constant functions through nonlocal functionals (2023)
• M. Gobbino - N. Picenni (Trans. Amer. Math. Soc.)
  A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional (2023)
• G. Bellettini - M. Freguglia - N. Picenni (Arch. Ration. Mech. Anal.)
  On a conjecture of De Giorgi about the phase-field approximation of the Willmore functional (2023)
• C. Antonucci - M. Gobbino - M. Migliorini - N. Picenni (Anal. PDE)
  Optimal constants for a non-local approximation of Sobolev norms and total variation (2020)
• C. Antonucci - M. Gobbino - N. Picenni (Anal. PDE)
  On the gap between Gamma-limit and pointwise limit for a non-local approximation of the total variation (2020)
• C. Antonucci - M. Gobbino - M. Migliorini - N. Picenni (C. R. Math. Acad. Sci. Paris)
  On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation (2018)

Speaker:

• 1 dec 2023 - 2 dec 2023: Curvature-driven geometric problems

Organizer:

• 5 nov 2025 - 7 nov 2025: Local and nonlocal methods in geometric analysis