34 citations · 112 across the 12 of their papers we have counts for
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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.OC2019★ 9 cited
Connected surfaces with boundary minimizing the Willmore energy
Matteo Novaga, Marco Pozzetta
For a given family of smooth closed curves we consider the problem of finding an elastic \emph{connected} compact surface with boundary $γ=γ^1\…
math.OC2019★ 4 cited
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…