34 citations · 88 across the 23 of their papers we have counts for
4 papers · 1 filter
Minimizing properties of networks via global and local calibrations
Alessandra Pluda, Marco Pozzetta
In this note we prove that minimal networks enjoy minimizing properties for the length functional. A minimal network is, roughly speaking, a subset of composed of st…
Degenerate elastic networks
Giacomo Del Nin, Alessandra Pluda, Marco Pozzetta
We minimize a linear combination of the Willmore and the length functional among networks in belonging to a given class determined by the number of curves, the order…
On different notions of calibrations for minimal partitions and minimal networks in
Marcello Carioni, Alessandra Pluda
Calibrations are a possible tool to validate the minimality of a certain candidate. They have been introduced in the context of minimal surfaces and adapted to the case of Steiner…
Calibrations for minimal networks in a covering space setting
Marcello Carioni, Alessandra Pluda
In this paper we define a notion of calibration for an equivalent approach to the classical Steiner problem in a covering space setting and we give some explicit examples. Moreover…