Planar Wulff shape is unique equilibrium
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Publication:4829903
DOI10.1090/S0002-9939-04-07661-0zbMath1071.49025MaRDI QIDQ4829903
Publication date: 1 December 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Crystalline structure (74E15) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)
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Cites Work
- Unnamed Item
- Complete constant mean curvature surfaces in Euclidean three-space
- Stability of hypersurfaces with constant mean curvature
- Counterexample to a conjecture of H. Hopf
- Cylindrical surfaces of Delaunay
- Hexagonal surfaces of Kapouleas
- Constant mean curvature surfaces in Euclidean three-space
- Crystalline variational problems
- Stability of the Wulff shape
- Uniqueness theorems for surfaces in the large. I, II, III, IV, V