Marco Pozzetta

activity

20172024

most citedA survey of the elastic flow of curves and networks

34 citations · 112 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.OC2019★ 9 cited

Connected surfaces with boundary minimizing the Willmore energy

Matteo Novaga, Marco Pozzetta

For a given family of smooth closed curves $γ^{1}, ..., γ^{α} \subset R^{3}$ we consider the problem of finding an elastic \emph{connected} compact surface $M$ 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 $R^{d}$ belonging to a given class determined by the number of curves, the order…

math.FA2019

Connected perimeter of planar sets

François Dayrens, Simon Masnou, Matteo Novaga +1

We introduce a notion of connected perimeter for planar sets defined as the lower semi-continuous envelope of perimeters of approximating sets which are measure-theoretically conne…

math.AP2019

A varifold perspective on the $p$ -elastic energy of planar sets

Marco Pozzetta

Under suitable regularity assumptions the $p$ -elastic energy of a planar set $E \subset R^{2}$ is defined to be $\int_{\partial E} 1 + ∣ k_{\partial E} ∣^{p} d H^{1},$ …

Connected surfaces with boundary minimizing the Willmore energy

Degenerate elastic networks

Connected perimeter of planar sets

A varifold perspective on the p-elastic energy of planar sets

A varifold perspective on the $p$ -elastic energy of planar sets