Minimizers of the Willmore functional with a small area constraint
From MaRDI portal
Publication:2450586
DOI10.1016/J.ANIHPC.2012.10.003zbMath1290.49090arXiv1201.1887OpenAlexW3100474594MaRDI QIDQ2450586
Publication date: 14 May 2014
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.1887
Related Items (7)
Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity ⋮ Lower semicontinuity for the Helfrich problem ⋮ Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension ⋮ The Willmore functional of surfaces ⋮ Local foliation of manifolds by surfaces of Willmore-type ⋮ On the minimizers of curvature functionals in asymptotically flat manifolds ⋮ Concentration of small Hawking type surfaces
Cites Work
- Unnamed Item
- \(W^{2,2}\)-conformal immersions of a closed Riemann surface into \(\mathbb{R}^n\)
- Minimizers of the Willmore functional under fixed conformal class
- Foliations of asymptotically flat manifolds by surfaces of Willmore type
- Some results about the existence of critical points for the Willmore functional
- Optimal rigidity estimates for nearly umbilical surfaces
- Existence of surfaces minimizing the Willmore functional
- Willmore spheres in compact Riemannian manifolds
- The conformal Willmore functional: a perturbative approach
- Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds
- Willmore minimizers with prescribed isoperimetric ratio
- A \(C^{0}\) estimate for nearly umbilical surfaces
- Small Surfaces of Willmore Type in Riemannian Manifolds
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Variational Methods
This page was built for publication: Minimizers of the Willmore functional with a small area constraint
