34 citations · 88 across the 23 of their papers we have counts for
5 papers · 1 filter
Minimal elastic networks
Anna Dall'Acqua, Matteo Novaga, Alessandra Pluda
We consider planar networks of three curves that meet at two junctions with prescribed equal angles, minimizing a combination of the elastic energy and the length functional. We pr…
Willmore Flow of planar networks
Harald Garcke, Julia Menzel, Alessandra Pluda
Geometric gradient flows for elastic energies of Willmore type play an important role in mathematics and in many applications. The evolution of elastic curves has been studied in d…
Some minimization problems for planar networks of elastic curve
Anna Dall'Acqua, Alessandra Pluda
In this note we announce some results that will appear in [6] (joint work with also Matteo Novaga) on the minimization of the functional , where …
Calibrations for minimal networks in a covering space setting
Marcello Carioni, Alessandra Pluda
In this paper we define a notion of calibration for an equivalent approach to the classical Steiner problem in a covering space setting and we give some explicit examples. Moreover…
Nontrivial solutions of quasilinear elliptic equations with natural growth term
Marco Degiovanni, Alessandra Pluda
We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism. To t…