A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies
DOI10.1016/j.geomphys.2022.104731OpenAlexW4312038440WikidataQ125261469 ScholiaQ125261469MaRDI QIDQ2684761
Publication date: 17 February 2023
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.01070
stabilityelastic curveWillmore hypersurfaceweighted areasingular minimal hypersurfacestationary hypersurface
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Planar \textit{p}-elastic curves and related generalized complete elliptic integrals
- Flow by mean curvature of convex surfaces into spheres
- The \(n\)-dimensional analogue of the catenary: Existence and non-existence
- The stability of the axially symmetric pendent drop
- The two-dimensional analogue of the catenary
- The conformal Gauss map and the stability of Willmore surfaces
- Isoperimetry of waists and concentration of maps
- Constant mean curvature invariant surfaces and extremals of curvature energies
- Generalized elastica problems under area constraint
- Stationary soap films with vertical potentials
- Plateau-Rayleigh instability of singular minimal surfaces
- A dome subjected to compression forces: a comparison study between the mathematical model, the catenary rotation surface and the paraboloid
- Stability of stationary points for one-dimensional Willmore energy with spatially heterogeneous term
- The Euler-Helfrich functional
- Classification of rotational surfaces with constant skew curvature in 3-space forms
- A gradient flow for the \(p\)-elastic energy defined on closed planar curves
- Total \(p\)-powered curvature of closed curves and flat-core closed \(p\)-curves in \(S^2(G)\)
- On the stability of the CMC Clifford tori as constrained Willmore surfaces
- The one dimensional case of the singular minimal surfaces with density
- On the variation of curvature functionals in a space form with application to a generalized Willmore energy
- Min-max theory and the Willmore conjecture
- A varifold perspective on the $p$-elastic energy of planar sets
- Capillary channels in a gravitational field
- Area-Minimizing Surfaces, Faces of Grassmannians, and Calibrations
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Elliptic regularization and partial regularity for motion by mean curvature
- A geometric theory on the elasticity of bio-membranes
- Geometry and stability of bubbles with gravity
- Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures
- A Second Order Gradient Flow of p-Elastic Planar Networks
This page was built for publication: A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies