Uniqueness problem for closed non-smooth hypersurfaces with constant anisotropic mean curvature
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Publication:2042464
DOI10.2969/aspm/08510239zbMath1468.49048OpenAlexW3113653917MaRDI QIDQ2042464
Publication date: 20 July 2021
Full work available at URL: https://doi.org/10.2969/aspm/08510239
anisotropic surface energyWulff shapeanisotropic mean curvature flowanisotropic mean curvaturecrystalline variational problem
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Flows related to mean curvature (53E10)
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Cites Work
- Unnamed Item
- Stable closed equilibria for anisotropic surface energies: surfaces with edges
- A note on the stability theorem of J. L. Barbosa and M. do Carmo for closed surfaces of constant mean curvature
- Complete constant mean curvature surfaces in Euclidean three-space
- Counterexample to a conjecture of H. Hopf
- The relative differential geometry of nonparametric hypersurfaces
- Constant mean curvature surfaces constructed by fusing Wente tori
- The cone over the Clifford torus in \(R^ 4\) is \(\Phi\)-minimizing
- Geometry and stability of surfaces with constant anisotropic mean curvature
- A New Look at Equilibria in Stefan-Type Problems in the Plane
- Anisotropic umbilic points and Hopf's theorem for surfaces with constant anisotropic mean curvature
- Crystalline variational problems
- Stability of the Wulff shape
- Planar Wulff shape is unique equilibrium