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
91 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
63 2012 Crystallization in two dimensions and a discrete Gauss–Bonnet theorem L De Luca, G Friesecke
Journal of Nonlinear Science 28, 69-90, 2018
36 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
20 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, 987-1053, 2021
18 2021 The -fractional perimeter between fractional perimeters and Riesz potentials L De Luca, M Novaga, M Ponsiglione
arXiv preprint arXiv:1906.06303, 2019
18 2019 -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
17 2018 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
16 2021 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
15 2016 Gamma-convergence analysis for discrete topological singularities: the anisotropic triangular lattice and the long range interaction energy L De Luca
14 * 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
13 2020 Classification of particle numbers with unique Heitmann–Radin minimizer L De Luca, G Friesecke
Journal of Statistical Physics 167, 1586-1592, 2017
12 2017 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), 148, 2017
11 2017 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
9 2022 -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
9 2019 The variational approach to s-fractional heat flows and the limit cases s→ 0+ and s→ 1− V Crismale, L De Luca, A Kubin, A Ninno, M Ponsiglione
Journal of Functional Analysis 284 (8), 109851, 2023
7 2023 Introduzione al calcolo delle variazioni M Carriero, L De Luca
Quaderni di Matematica 2010 (1), 2010
7 2010 The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows L De Luca, A Kubin, M Ponsiglione
Nonlinear Analysis 214, 112585, 2022
6 2022 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
6 2020 The variational approach to -fractional heat flows and the limit cases and L De Luca, V Crismale, A Kubin, A Ninno, M Ponsiglione
arXiv preprint arXiv:2107.13828, 2021
3 2021