Li-Yau inequalities for the Helfrich functional and applications
From MaRDI portal
Publication:2680533
DOI10.1007/s00526-022-02381-7OpenAlexW4308826403MaRDI QIDQ2680533
Christian Scharrer, Fabian Rupp
Publication date: 4 January 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.12360
Differential geometric aspects of harmonic maps (53C43) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the minimization of total mean curvature
- \(W^{2,2}\)-conformal immersions of a closed Riemann surface into \(\mathbb{R}^n\)
- Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case
- Immersed spheres of finite total curvature into manifolds
- Variational principles for immersed surfaces with \(L^2\)-bounded second fundamental form
- Finite time singularities for the locally constrained Willmore flow of surfaces
- Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
- A characteristic property of spheres
- Lower semicontinuity of the Willmore functional for currents
- Curvature varifolds with boundary
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- Rigidity and stability of spheres in the Helfrich model
- The Helfrich boundary value problem
- Removability of point singularities of Willmore surfaces
- Existence of surfaces minimizing the Willmore functional
- Existence and regularity of spheres minimising the Canham-Helfrich energy
- A note on singularities in finite time for the \(L^{2}\) gradient flow of the Helfrich functional
- Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities
- Embedded Delaunay tori and their Willmore energy
- Existence of varifold minimizers for the multiphase Canham-Helfrich functional
- Lower semicontinuity for the Helfrich problem
- Willmore minimizers with prescribed isoperimetric ratio
- Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint
- On the first variation of a varifold
- The volume-preserving Willmore flow
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- Connected components of sets of finite perimeter and applications to image processing
- A strict inequality for the minimization of the Willmore functional under isoperimetric constraint
This page was built for publication: Li-Yau inequalities for the Helfrich functional and applications
