82 citations · 134 across the 16 of their papers we have counts for
6 papers · 1 filter
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,…
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…
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…
Parallel Codazzi tensors with submanifold applications
Anthony Gruber
A decomposition theorem is established for a class of closed Riemannian submanifolds immersed in a space form of constant sectional curvature. In particular, it is shown that if $M…
Stationary Surfaces with Boundaries
Anthony Gruber, Magdalena Toda, Hung Tran
This article investigates stationary surfaces with boundaries, which arise as the critical points of functionals dependent on curvature. Precisely, a generalized "bending energy" f…
On the variation of curvature functionals in space forms with application to a generalized Willmore energy
Anthony Gruber, Magdalena Toda, Hung Tran
Functionals involving surface curvature are important across a range of scientific disciplines, and their extrema are representative of physically meaningful objects such as atomic…