3 papers
math.AP2026
Periodic ground states for a one-parameter family of nonlocal energies on the real line
Lucia De Luca, Giovanni Pini, Marcello Ponsiglione +1
In dimension one, we introduce a one-parameter family of nonlocal energies, including subcritical Gagliardo seminorms and Riesz functionals, acting on scalar functions whose deriva…
math.AP2025
Flat flows of periodic Lipschitz subgraphs for generalized nonlocal perimeters
Lucia De Luca, Antonia Diana, Marcello Ponsiglione
We prove the existence and the 1/2-Hölder continuity in time of flat flows for periodic Lipschitz subgraphs, whose evolution is governed by the gradient flow of generalized nonloc…
math.FA2025
Dynamics of screened particles towards equi-spaced ground states
Lucia De Luca, Michael Goldman, Marcello Ponsiglione
This paper deals with the dynamics - driven by the gradient flow of negative fractional seminorms - of empirical measures towards equi-spaced ground states. Specifically, we consid…