8 citations · 16 across the 10 of their papers we have counts for
11 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,…
Stationary soap films with vertical potentials
Rafael López, Alvaro Pámpano
We classify cylindrical surfaces in the Euclidean space whose mean curvature is a th-power of the distance to a reference plane. The generating curves of these surfaces, called…
Critical Tori for Mean Curvature Energies in Killing Submersions
Alvaro Pampano
We study surface energies depending on the mean curvature in total spaces of Killing submersions, which extend the classical notion of Willmore energy. Based on a symmetry reductio…
The Euler-Helfrich Functional
Bennett Palmer, Alvaro Pampano
We investigate equilibrium configurations for surface energies which contain the squared norm of the difference of the mean curvature H and the spontaneous curvature co…
Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries
Bennett Palmer, Alvaro Pampano
We study critical surfaces for a surface energy which contains the squared norm of the difference of the mean curvature and the spontaneous curvature , coupled to th…