The Willmore functional of surfaces
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Publication:2016929
DOI10.1007/s11766-013-3222-7zbMath1299.53006OpenAlexW2162995323MaRDI QIDQ2016929
Publication date: 30 June 2014
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-013-3222-7
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05)
Cites Work
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- \(W^{2,2}\)-conformal immersions of a closed Riemann surface into \(\mathbb{R}^n\)
- Remarks on a Bernstein type theorem for entire Willmore graphs in \(\mathbb R^3\)
- A duality theorem for Willmore surfaces
- Analysis aspects of Willmore surfaces
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- The existence of minimal immersions of 2-spheres
- The Willmore flow with small initial energy.
- Removability of point singularities of Willmore surfaces
- Existence of surfaces minimizing the Willmore functional
- On surfaces of finite total curvature
- Willmore spheres in compact Riemannian manifolds
- A Bernstein type theorem for entire Willmore graphs
- Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds
- Min-max theory and the Willmore conjecture
- Minimizers of the Willmore functional with a small area constraint
- Error analysis of a finite element method for the Willmore flow of graphs
- Complete minimal surfaces in \(S^ 3\)
- Bubble tree of branched conformal immersions and applications to the Willmore functional
- Minimal Immersions of Closed Riemann Surfaces
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- The Bernstein problem for complete Lagrangian stationary surfaces
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