A Li-Yau inequality for the 1-dimensional Willmore energy
From MaRDI portal
Publication:2691826
DOI10.1515/acv-2021-0014OpenAlexW4287372209MaRDI QIDQ2691826
Publication date: 30 March 2023
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.08509
Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04) Higher-order geometric flows (53E40)
Related Items (3)
Geometric aspects of shape optimization ⋮ Li-Yau type inequality for curves in any codimension ⋮ On the convergence of the Willmore flow with Dirichlet boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Łojasiewicz-Simon gradient inequality for open elastic curves
- On the curve diffusion flow of closed plane curves
- The total squared curvature of closed curves
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- The total absolute curvature of closed curves in Riemannian manifolds
- Some minimization problems for planar networks of elastic curves
- Sobolev spaces on Riemannian manifolds
- Unified representations of nonlinear splines
- On the convergence of the elastic flow in the hyperbolic plane
- On the Łojasiewicz-Simon gradient inequality on submanifolds
- Confined elasticae and the buckling of cylindrical shells
- Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions
- On the total curvature of knots
- The Łojasiewicz-Simon inequality for the elastic flow
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- A varifold perspective on the $p$-elastic energy of planar sets
- Knotted Elastic Curves in R 3
- Sur la courbure totale d'une courbe gauche faisant un nœud
- On total curvatures of closed space curves
This page was built for publication: A Li-Yau inequality for the 1-dimensional Willmore energy