34 citations · 112 across the 12 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.OC2022★ 3 cited
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…
math.AP2022
On the uniqueness of nondegenerate blowups for the motion by curvature of networks
Alessandra Pluda, Marco Pozzetta
In this note we prove uniqueness of nondegenerate compact blowups for the motion by curvature of planar networks. The proof follows ideas introduced in "Lojasiewicz-Simon inequalit…
math.DG2022★ 1 cited
Łojasiewicz-Simon inequalities for minimal networks: stability and convergence
Alessandra Pluda, Marco Pozzetta
We investigate stability properties of the motion by curvature of planar networks. We prove Lojasiewicz-Simon gradient inequalities for the length functional of planar networks wit…