Research

Preprints

• On the  Ginzburg-Landau energy of corners

M. Correggi, E.L. Giacomelli, A. Kachmar,  arXiv:2403.11286.

• On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs

E. Cruciani, E.L. Giacomelli, J. Lee,  arXiv:2304.07203.

Peer-Reviewed Articles

• 3D-Schrödinger operators under magnetic steps with semiclassical applications

W. Assaad, E.L. Giacomelli, Discrete Contin. Dyn. Syst., 43 (2) (2023). 

• An optimal upper bound for the dilute Fermi gas in three dimensions

E.L. Giacomelli,  Journal of Functional Analysis,  110073 (2023).

• On the magnetic laplacian with a piecewise constant magnetic field in ℝ^3_+

E.L. Giacomelli, In: Correggi, M., Falconi, M. (eds) Quantum Mathematics I. INdAM 2022. Springer INdAM Series, vol 57. Springer,  Singapore (2023)

• Bogoliubov theory for the dilute Fermi gas in three dimensions

E.L. Giacomelli, In: Correggi, M., Falconi, M. (eds) Quantum Mathematics I. INdAM 2022. Springer INdAM Series, vol 58. Springer, Singapore (2023)

• On Bose-Einstein condensates in the Thomas-Fermi regime

D. Dimonte, E.L. Giacomelli, Math. Phys. Anal. Geom.  25, 25 (2022).

• Almost Flat Angles in Surface Superconductivity

M. Correggi, E.L. Giacomelli, Nonlinearity 34 (2021) 7633-7661 

• The dilute Fermi gas via Bogoliubov theory

M. Falconi, E.L. Giacomelli, C. Hainzl, M. Porta, Ann. Henri Poincaré (2021) 

• Effects of Corners in Surface Superconductivity

M. Correggi, E.L. Giacomelli, Calc. Var. Partial Differential Equations 60 (2021), 236.   

• Surface Superconductivity in Presence of Corners

M. Correggi, E.L. Giacomelli, Rev. Math. Phys. 29 (2017), 175000.

Other

• The low density Fermi gas in three dimensions

E.L. Giacomelli, Oberwolfach Rep. 49 , DOI: 10.14760/OWR-2023-49 (2023).