期刊
ADVANCES IN CALCULUS OF VARIATIONS
卷 1, 期 4, 页码 379-397出版社
WALTER DE GRUYTER & CO
DOI: 10.1515/ACV.2008.016
关键词
Dirichlet boundary conditions; Willmore surfaces of revolution
We consider the Willmore equation with Dirichlet boundary conditions for a surface of revolution obtained by rotating the graph of a positive smooth even function. We show existence of a regular solution by minimisation. Instead of minimising the Willmore functional we reformulate the problem in the hyperbolic half plane and we minimise the corresponding hyperbolic Willmore functional.
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