L. Lombardini

activity

20152026

most citedComplete stickiness of nonlocal minimal surfaces for small values of the fractional parameter

29 citations · 39 across the 11 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

3 papers · 2 filters

math.AP2020

On nonlocal minimal graphs

Matteo Cozzi, Luca Lombardini

We develop a functional analytic approach for the study of nonlocal minimal graphs. Through this, we establish existence and uniqueness results, a priori estimates, comparison prin…

math.AP2020★ 1 cited

$(s, p)$ -harmonic approximation of functions of least $W^{s, 1}$ -seminorm

Claudia Bucur, Serena Dipierro, Luca Lombardini +2

We investigate the convergence as $p ↘ 1$ of the minimizers of the $W^{s, p}$ -energy for $s \in (0, 1)$ and $p \in (1, \infty)$ to those of the $W^{s, 1}$ -energy, both in the pointwis…

math.AP2020

Minimisers of a fractional seminorm and nonlocal minimal surfaces

Claudia Bucur, Serena Dipierro, Luca Lombardini +1

The recent literature has intensively studied two classes of nonlocal variational problems, namely the ones related to the minimisation of energy functionals that act on functions…

On nonlocal minimal graphs

(s,p)-harmonic approximation of functions of least Ws,1-seminorm

Minimisers of a fractional seminorm and nonlocal minimal surfaces

$(s, p)$ -harmonic approximation of functions of least $W^{s, 1}$ -seminorm