Postdoc, University of Sydney & Princeton University

Email: michele.caselli AT sns.it

Home-page: https://sites.google.com/sns.it/michelecaselli/home

Available papers (14):

[plain text]

• M. Caselli - N. Picenni (J. Differential Equations)
  Saddle solution to the complex Ginzburg-Landau system in three dimensions (2026)
• L. Gennaioli - M. Caselli (Submitted Paper)
  A new Duhamel-type principle with applications to geometric (in)equalities (2026)
• M. Caselli - M. Freguglia - N. Picenni (Preprint)
  Another look at a notion of fractional mass in codimension two (2026)
• M. Caselli (Ph.D. Thesis)
  Nonlocal phase transitions in codimension-one: diffuse approximation, stability and asymptotics (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 (Lecture Notes)
  Geometric features of nonlocal minimal surfaces (2024)
• M. Caselli (Nonlinear Analysis)
  Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$ (2024)
• M. Caselli - E. Florit-Simon - J. Serra (Mathematische Annalen)
  Fractional Sobolev spaces on Riemannian manifolds (2024)
• 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. Caselli - L. Gennaioli (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
  Asymptotics as $s \to 0^+$ of the fractional perimeter on Riemannian manifolds (2023)
• M. Caselli - E. Florit-Simon - J. Serra (Accepted Paper: J. Eur. Math. Soc.)
  Yau's conjecture for nonlocal minimal surfaces (2023)
• C. Benassi - M. Caselli (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
  Lipschitz continuity results for a class of obstacle problems (2020)
• M. Caselli - M. Eleuteri - A. Passarelli di Napoli (ESAIM Control Optim. Calc. Var.)
  Regularity results for a class of obstacle problems with $p,q-$growth conditions (2020)
• M. Caselli - A. Gentile - R. Giova (J. Differential Equations)
  Regularity results for solutions to obstacle problems with Sobolev coeffcients (2020)

Seminars:

• 7 jul 2026: Pointwise commutator identities for the fractional Laplacian

Speaker:

• 14 may 2025 - 16 may 2025: Variational and Analytical aspects of Geometric PDEs
• 20 sep 2023 - 22 sep 2023: Guess what? A Pisan workshop in Geometric Analysis

Organizer:

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