A direct approach to the duality of grand and small Lebesgue spaces G Di Fratta, A Fiorenza Nonlinear Analysis: Theory, Methods & Applications 70 (7), 2582-2592, 2009 | 90 | 2009 |
Half-Integer Point Defects in the Q-Tensor Theory of Nematic Liquid Crystals G Di Fratta, JM Robbins, V Slastikov, A Zarnescu Journal of Nonlinear Science 26, 2016 | 48* | 2016 |
Variational principles of micromagnetics revisited G Di Fratta, CB Muratov, FN Rybakov, VV Slastikov SIAM Journal on Mathematical Analysis 52 (4), 3580-3599, 2020 | 46 | 2020 |
Micromagnetics of curved thin films G Di Fratta Zeitschrift für angewandte Mathematik und Physik 71 (4), 1-19, 2020 | 28* | 2020 |
Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics G Di Fratta, M Innerberger, D Praetorius Nonlinear Analysis: Real World Applications 55, 103122, 2020 | 27 | 2020 |
Homogenization of composite ferromagnetic materials F Alouges, G Di Fratta Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015 | 27 | 2015 |
The Newtonian potential and the demagnetizing factors of the general ellipsoid G Di Fratta Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016 | 24 | 2016 |
Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation G Di Fratta, CM Pfeiler, D Praetorius, M Ruggeri, B Stiftner IMA Journal of Numerical Analysis 40 (4), 2802-2838, 2020 | 22 | 2020 |
A generalization of the fundamental theorem of Brown for fine ferromagnetic particles G Di Fratta, C Serpico, M d’Aquino Physica B: Condensed Matter, 2011 | 19 | 2011 |
On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics G Di Fratta, V Slastikov, A Zarnescu SIAM Journal on Mathematical Analysis 51 (4), 3373-3387, 2019 | 16 | 2019 |
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction E Davoli, G Di Fratta, D Praetorius, M Ruggeri Mathematical Models and Methods in Applied Sciences 32 (05), 911-939, 2022 | 15 | 2022 |
Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures E Davoli, G Di Fratta Journal of Nonlinear Science 30, 1229–1262, 2020 | 12 | 2020 |
A short proof of local regularity of distributional solutions of Poisson’s equation G Di Fratta, A Fiorenza Proceedings of the American Mathematical Society 148 (5), 2143-2148, 2020 | 11 | 2020 |
Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals G Di Fratta, JM Robbins, V Slastikov, A Zarnescu Archive for Rational Mechanics and Analysis 236 (2), 1089-1125, 2020 | 10 | 2020 |
Liouville type results for local minimizers of the micromagnetic energy F Alouges, GD Fratta, B Merlet Calculus of Variations and Partial Differential Equations, 2014 | 10 | 2014 |
A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev Spaces G Di Fratta, A Fiorenza Journal of Functional Analysis 238 (5), 2022 | 9 | 2022 |
Modular inequalities for the maximal operator in variable Lebesgue spaces D Cruz-Uribe, G Di Fratta, A Fiorenza Nonlinear Analysis 177, 299-311, 2018 | 9 | 2018 |
Parking 3-sphere swimmer. I. Energy minimizing strokes F Alouges, G Di Fratta arXiv preprint arXiv:1610.04767, 2016 | 9 | 2016 |
Current-driven chaotic magnetization dynamics in microwave assisted switching of spin-valve elements M d’Aquino, G Di Fratta, C Serpico, G Bertotti, R Bonin, ID Mayergoyz Journal of Applied Physics 109 (7), 2011 | 8 | 2011 |
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces G Di Fratta, A Fiorenza, V Slastikov arXiv preprint arXiv:2110.08755, 2021 | 7 | 2021 |