| 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 | 108 | 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 | 77 | 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 | 45 | 2018 |
| The -fractional perimeter between fractional perimeters and Riesz potentials L De Luca, M Novaga, M Ponsiglione arXiv preprint arXiv:1906.06303, 2019 | 34 | 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 | 29 | 2023 |
| 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 | 27 | 2021 |
| -Convergence Analysis of a Generalized XY Model: Fractional Vortices and String Defects R Badal, M Cicalese, L De Luca, M Ponsiglione Communications in Mathematical Physics 358 (2), 705-739, 2018 | 25 | 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 | 24 | 2021 |
| 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 | 22 | 2016 |
| 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 | 19 | 2020 |
| 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 | 19 | 2016 |
| Classification of particle numbers with unique Heitmann–Radin minimizer L De Luca, G Friesecke Journal of Statistical Physics 167 (6), 1586-1592, 2017 | 18 | 2017 |
| Gamma-convergence analysis for discrete topological singularities: the anisotropic triangular lattice and the long range interaction energy L De Luca | 15* | |
| The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows L De Luca, A Kubin, M Ponsiglione Nonlinear Analysis 214, 112585, 2022 | 14 | 2022 |
| 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 | 13 | 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 | 12 | 2022 |
| A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation L De Luca, R Scala, N Van Goethem arXiv preprint arXiv:2205.14746, 2022 | 11 | 2022 |
| -Convergence of the Heitmann–Radin Sticky Disc Energy to the Crystalline Perimeter L De Luca, M Novaga, M Ponsiglione Journal of Nonlinear Science 29 (4), 1273-1299, 2019 | 10 | 2019 |
| Semidiscrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method P Cesana, L De Luca, M Morandotti SIAM Journal on Mathematical Analysis 56 (1), 79-136, 2024 | 9 | 2024 |
| Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice R Alicandro, L De Luca, G Lazzaroni, M Palombaro, M Ponsiglione Journal of Nonlinear Science 33 (2), 33, 2023 | 7 | 2023 |
Marcello PonsiglioneProfessore di Analisi Matematica, Sapienza Universita' di RomaVerified email at mat.uniroma1.it
