9 citations · 34 across the 21 of their papers we have counts for
6 papers · 1 filter
Generalized Elastic Translating Solitons
Alvaro Pampano
We study translating soliton solutions to the flow by powers of the curvature of curves in the plane. We characterize these solitons as critical curves for functionals depending on…
Instability of Closed -Elastic Curves in
Anthony Gruber, Alvaro Pampano, Magdalena Toda
For , we show that non-circular closed -elastic curves in exist only when , in which case they are classical elastic curves, or when $p\in(0,…
Symmetry Breaking Bifurcation of Membranes with Boundary
Bennett Palmer, Alvaro Pampano
We use a bifurcation theory due to Crandall and Rabinowitz to show the existence of a symmetry breaking bifurcation of a specific one parameter family of axially symmetric disc typ…
A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies
Rafael López, Álvaro Pámpano
This paper considers the energies of three different physical scenarios and obtains relations between them in a particular case. The first family of energies consists of the Willmo…
Closed 1/2-Elasticae in the 2-Sphere
Emilio Musso, Alvaro Pampano
We study critical trajectories in the sphere for the -Bernoulli's bending functional with length constraint. For every Lagrange multiplier encoding the conservation of the len…
Closed Biconservative Hypersurfaces in Spheres
Stefano Montaldo, Cezar Oniciuc, Alvaro Pampano
We characterise the profile curves of non-CMC biconservative rotational hypersurfaces of space forms as -elastic curves, for a suitable rational number wh…