F. Alouges, G. Di Fratta:
Cell averaging two-scale convergence: Applications to periodic
  homogenization
(preprint) 2016

F. Alouges, G. Di Fratta:
Parking 3-sphere swimmer. I. Energy minimizing strokes
(preprint) 2016

D. Cruz-Uribe, G. Di Fratta, A. Fiorenza:
Modular inequalities for the maximal operator in variable Lebesgue  spaces
Nonlinear Analysis 2017

G. Di Fratta, T. Führer, G. Gantner, D. Praetorius:
Adaptive Uzawa algorithm for the Stokes equation
(preprint) 2018

E. Davoli, G. Di Fratta:
Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures
Journal of Nonlinear Science 2019

G. Di Fratta, V. Slastikov, A. Zarnescu:
On a sharp Poincaré-type inequality on the 2-sphere and its  application in micromagnetics
SIAM Journal on Mathematical Analysis Vol. 51, N. 4, 2019

G. Di Fratta, M. Innerberger, D. Praetorius:
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in  micromagnetics
Nonlinear Analysis: Real World Applications Vol. 55, 2020

G. Di Fratta, J. Robbins, V. Slastikov, A. Zarnescu:
Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid  crystals
Archive for Rational Mechanics and Analysis Vol. 236, 2020

G. Di Fratta, A. Fiorenza:
A short proof of local regularity of distributional solutions of  Poisson's equation
Proc. Amer. Math. Soc. Vol. 148, 2020

G. Di Fratta, C. Muratov, F. Rybakov, V. Slastikov:
Variational principles of micromagnetics revisited
SIAM Journal on Mathematical Analysis Vol. 52, N. 4, 2020

G. Di Fratta, A. Fiorenza:
BMO-type seminorms from Escher-type tessellations
Journal of Functional Analysis Vol. 279, N. 3, 2020

G. Di Fratta:
Micromagnetics of curved thin films
Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP) 2020

G. Di Fratta, A. Jüngel, D. Praetorius, V. Slastikov:
Spin-diffusion model for micromagnetics in the limit of long times
Journal of Differential Equations 2020

E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri:
Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction
Mathematical Models and Methods in Applied Sciences 2020

G. Di Fratta, A. Fiorenza, V. Slastikov:
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces
Mathematics in Engineering 2021

G. Di Fratta, A. Fiorenza:
A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev Spaces
Journal of Functional Analysis 2021

G. Di Fratta, A. Monteil, V. Slastikov:
Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization
SIAM Journal on Mathematical Analysis 2021

G. Di Fratta, V. Slastikov:
Curved thin-film limits of chiral Dirichlet energies
Nonlinear Analysis 2022

E. Davoli, G. Di Fratta, V. Pagliari:
Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
(Submitted Paper) 2023

E. Davoli, G. Di Fratta, A. Fiorenza, L. Happ:
A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents
(Submitted Paper) 2023

G. Di Fratta, C. Muratov, V. Slastikov:
Reduced energies for thin ferromagnetic films with perpendicular  anisotropy
(Submitted Paper) 2023

G. Di Fratta, V. Slastikov, A. Zarnescu:
Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime
(Submitted Paper) 2023

G. Di Fratta, F. Solombrino:
Korn and Poincaré-Korn inequalities: A different perspective
(Submitted Paper) 2023

E. Davoli, G. Di Fratta, R. Giorgio:
A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
(Submitted Paper) 2024