3 papers
math.DG2025
Axially Symmetric Helfrich Spheres
Rafael López, Bennett Palmer, Álvaro Pámpano
Smooth axially symmetric Helfrich topological spheres are either round or else they must satisfy a second order equation known as the reduced membrane equation [17]. In this paper,…
math.DG2021
On p-Willmore Disks with Boundary Energies
Anthony Gruber, Álvaro Pámpano, Magdalena Toda
We consider an energy functional on surface immersions which includes contributions from both boundary and interior. Inspired by physical examples, the boundary is modeled as the c…
math.DG2020
Regarding the Euler-Plateau Problem with Elastic Modulus
Anthony Gruber, Álvaro Pámpano, Magdalena Toda
We study equilibrium configurations for the Euler-Plateau energy with elastic modulus, which couples an energy functional of Euler-Plateau type with a total curvature term often pr…