34 citations · 112 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
A survey of the elastic flow of curves and networks
Carlo Mantegazza, Alessandra Pluda, Marco Pozzetta
We collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In partic…
The Lojasiewicz-Simon inequality for the elastic flow
Carlo Mantegazza, Marco Pozzetta
We define the elastic energy of smooth immersed closed curves in as the sum of the length and the -norm of the curvature, with respect to the length measure. We…
Convergence of elastic flows of curves into manifolds
Marco Pozzetta
For a given , we define the -elastic energy of a closed curve immersed in a complete Riemannian manifold as the sum…
A varifold perspective on the -elastic energy of planar sets
Marco Pozzetta
Under suitable regularity assumptions the -elastic energy of a planar set is defined to be …
On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves
Marco Pozzetta
For a smooth closed embedded planar curve , we consider the minimization problem of the Willmore energy among immersed surfaces of a given genus having the c…
Confined Willmore energy and the Area functional
Marco Pozzetta
We consider minimization problems of functionals given by the difference between the Willmore functional of a closed surface and its area, when the latter is multiplied by a positi…