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Marcello Ponsiglione
Marcello Ponsiglione
Professore di Analisi Matematica, Sapienza Universita' di Roma
Verified email at mat.uniroma1.it
Title
Cited by
Year
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
12024
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
12024
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
22024
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
172023
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
82023
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
32023
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
192022
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows
L De Luca, A Kubin, M Ponsiglione
Nonlinear Analysis 214, 112585, 2022
72022
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
32021
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
162021
Convergence of supercritical fractional flows to the mean curvature flow
L De Luca, A Kubin, M Ponsiglione
arXiv preprint arXiv:2102.13041, 2021
32021
Attractive Riesz potentials acting on hard spheres
A Kubin, M Ponsiglione
Nonlinearity 34 (1), 350, 2021
52021
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
52020
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
72020
-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
92019
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