期刊
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
卷 54, 期 2, 页码 187-236出版社
SPRINGER
DOI: 10.1007/s10455-018-9598-0
关键词
Willmore surfaces of revolution; Willmore boundary value problems; Symmetry breaking; Symmetry; Explicit formulas
类别
资金
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [MA6290/2-1]
In this paper, we prove explicit formulas for all Willmore surfaces of revolution and demonstrate their use in the discussion of the associated Dirichlet boundary value problems. It is shown by an explicit example that symmetric Dirichlet boundary conditions do in general not entail the symmetry of the surface. In addition, we prove a symmetry result for a subclass of Willmore surfaces satisfying symmetric Dirichlet boundary data.
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