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

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3 papers · 1 filter

math.DG2024

Fine properties of nonlinear potentials and a unified perspective on monotonicity formulas

Luca Benatti, Alessandra Pluda, Marco Pozzetta

We rigorously show that a large family of monotone quantities along the weak inverse mean curvature flow is the limit case of the corresponding ones along the level sets of $p$ -cap…

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…

math.DG2021★ 3 cited

Asymptotic convergence of evolving hypersurfaces

Carlo Mantegazza, Marco Pozzetta

If $ψ : M^{n} \to R^{n + 1}$ is a smooth immersed closed hypersurface, we consider the functional $F_{m} (ψ) = \int_{M} 1 + ∣ \nabla^{m} ν ∣^{2} d μ$ , where $ν$ is a local unit…