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.AP2025
The square sticky disk: crystallization and Gamma-convergence to the octagonal anisotropic perimeter
Giacomo Del Nin, Lucia De Luca
We consider a variant of the sticky disk energy where distances between particles are evaluated through the sup norm in the plane. We first prove crystal…