29 citations · 39 across the 11 of their papers we have counts for
4 papers · 1 filter
Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global -minimal surfaces
Luca Lombardini
In the first part of this paper we show that a set has locally finite -perimeter if and only if it can be approximated in an appropriate sense by smooth open sets. In the se…
The Phillip Island penguin parade (a mathematical treatment)
Serena Dipierro, Luca Lombardini, Pietro Miraglio +1
Penguins are flightless, so they are forced to walk while on land. In particular, they show rather specific behaviors in their homecoming, which are interesting to observe and to d…
Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter
Claudia Bucur, Luca Lombardini, Enrico Valdinoci
In this paper, we consider the asymptotic behavior of the fractional mean curvature when . Moreover, we deal with the behavior of -minimal surfaces when the fractional…
Fractional perimeter from a fractal perspective
Luca Lombardini
Following \cite{Visintin}, we exploit the fractional perimeter of a set to give a definition of fractal dimension for its measure theoretic boundary. We calculate the fractal dimen…