Metastability and dynamics of discrete topological singularities in two dimensions: a Γ-convergence approach R Alicandro, L De Luca, A Garroni, M Ponsiglione
Archive for Rational Mechanics and Analysis 214 (1), 269-330, 2014
77 2014 Γ-convergence analysis of systems of edge dislocations: the self energy regime L De Luca, A Garroni, M Ponsiglione
Archive for Rational Mechanics and Analysis 206 (3), 885-910, 2012
54 2012 Crystallization in two dimensions and a discrete Gauss–Bonnet theorem L De Luca, G Friesecke
Journal of Nonlinear Science 28 (1), 69-90, 2018
30 2018 Dynamics of discrete screw dislocations on glide directions R Alicandro, L De Luca, A Garroni, M Ponsiglione
Journal of the Mechanics and Physics of Solids 92, 87-104, 2016
17 2016 Crystallization to the square lattice for a two-body potential L Bétermin, L De Luca, M Petrache
Archive for Rational Mechanics and Analysis 240 (2), 987-1053, 2021
14 2021 Γ -Convergence Analysis of a Generalized XY Model: Fractional Vortices and String DefectsR Badal, M Cicalese, L De Luca, M Ponsiglione
Communications in Mathematical Physics 358 (2), 705-739, 2018
12 2018 Ground states of a two phase model with cross and self attractive interactions M Cicalese, LD Luca, M Novaga, M Ponsiglione
SIAM Journal on Mathematical Analysis 48 (5), 3412-3443, 2016
10 2016 Gamma-convergence analysis for discrete topological singularities: the anisotropic triangular lattice and the long range interaction energy L De Luca
10 * Minimising movements for the motion of discrete screw dislocations along glide directions R Alicandro, L De Luca, A Garroni, M Ponsiglione
Calculus of Variations and Partial Differential Equations 56 (5), 1-19, 2017
9 2017 Classification of particle numbers with unique Heitmann–Radin minimizer L De Luca, G Friesecke
Journal of Statistical Physics 167 (6), 1586-1592, 2017
9 2017 Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows A Cesaroni, L De Luca, M Novaga, M Ponsiglione
Communications in Partial Differential Equations 46 (7), 1344-1371, 2021
8 2021 Topological singularities in periodic media: Ginzburg–Landau and core-radius approaches R Alicandro, A Braides, M Cicalese, L De Luca, A Piatnitski
Archive for Rational Mechanics and Analysis 243 (2), 559-609, 2022
6 2022 The 0-fractional perimeter between fractional perimeters and Riesz potentials L De Luca, M Novaga, M Ponsiglione
6 2021 A minimization approach to the wave equation on time-dependent domains G Dal Maso, L De Luca
Advances in Calculus of Variations 13 (4), 425-436, 2020
6 2020 Γ -Convergence of the Heitmann–Radin Sticky Disc Energy to the Crystalline PerimeterL De Luca, M Novaga, M Ponsiglione
Journal of Nonlinear Science 29 (4), 1273-1299, 2019
6 2019 The -fractional perimeter between fractional perimeters and Riesz potentials L De Luca, M Novaga, M Ponsiglione
arXiv preprint arXiv:1906.06303, 2019
6 2019 Introduzione al calcolo delle variazioni M Carriero, L De Luca
Quaderni di Matematica 2010 (1), 2010
6 2010 Low energy configurations of topological singularities in two dimensions: A -convergence analysis of dipoles L De Luca, M Ponsiglione
Communications in Contemporary Mathematics 22 (03), 1950019, 2020
4 2020 A gradient flow approach to relaxation rates for the multi-dimensional Cahn–Hilliard equation L De Luca, M Goldman, M Strani
Mathematische Annalen 374 (3), 2041-2081, 2019
3 2019 Convergence of supercritical fractional flows to the mean curvature flow L De Luca, A Kubin, M Ponsiglione
arXiv preprint arXiv:2102.13041, 2021
2 2021