A notion of -fractional mass for -currents in higher codimension M Cicalese, T Heilmann, A Kubin, F Onoue, M Ponsiglione arXiv preprint arXiv:2403.03901, 2024 | 1 | 2024 |
Two slope functions minimizing fractional seminorms and applications to misfit dislocations L De Luca, M Ponsiglione, E Spadaro SIAM Journal on Mathematical Analysis 56 (1), 1179-1196, 2024 | 1 | 2024 |
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions R Alicandro, L De Luca, M Palombaro, M Ponsiglione Advances in Calculus of Variations, 2024 | 2 | 2024 |
The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions V Julin, M Morini, M Ponsiglione, E Spadaro Mathematische Annalen 387 (3), 1969-1999, 2023 | 17 | 2023 |
Parabolic -Riesz flows and limit cases , L De Luca, M Morini, M Ponsiglione, E Spadaro arXiv preprint arXiv:2306.09795, 2023 | | 2023 |
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension V Crismale, A Kubin, A Ninno, M Ponsiglione Nonlinear Analysis 231, 113046, 2023 | | 2023 |
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 | 8 | 2023 |
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 | 3 | 2023 |
Long time behavior of discrete volume preserving mean curvature flows M Morini, M Ponsiglione, E Spadaro Journal für die reine und angewandte Mathematik (Crelles Journal) 2022 (784 …, 2022 | 19 | 2022 |
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows L De Luca, A Kubin, M Ponsiglione Nonlinear Analysis 214, 112585, 2022 | 7 | 2022 |
Vectorial crystallization problems and collective behavior L De Luca, A Ninno, M Ponsiglione Journal of Mathematical Biology 84 (1), 6, 2022 | | 2022 |
A variational approach to nonlocal interactions: discrete-to-continuum analysis, ground states and geometric evolutions A Kubin Università degli Studi di Roma" La Sapienza", 2021 | | 2021 |
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 |
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 |
Convergence of supercritical fractional flows to the mean curvature flow L De Luca, A Kubin, M Ponsiglione arXiv preprint arXiv:2102.13041, 2021 | 3 | 2021 |
Attractive Riesz potentials acting on hard spheres A Kubin, M Ponsiglione Nonlinearity 34 (1), 350, 2021 | 5 | 2021 |
Variational models in elasticity L De Luca, M Ponsiglione Mathematics in Engineering 3 (2), 1-4, 2021 | | 2021 |
Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces S Fanzon, M Ponsiglione, R Scala Calculus of Variations and Partial Differential Equations 59 (4), 141, 2020 | 5 | 2020 |
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 | 7 | 2020 |
-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 | 9 | 2019 |