Abstract
This last chapter serves to give a first existence result for a priori bounded classical solutions of the Dirichlet problem forWillmore surfaces and thereby to outline possible directions of further research. In order to see which kind of phenomena and results concerning compact embedded solutions in R3 of boundary value problems for the corresponding equationmight be expected,we investigateDirichlet problems in a particularly symmetric situation.
Keywords
- Dirichlet Problem
- Geometric Construction
- Bibliographical Note
- Dirichlet Data
- Willmore Surface
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© 2010 Springer-Verlag Berlin Heidelberg
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Gazzola, F., Grunau, HC., Sweers, G. (2010). Willmore Surfaces of Revolution. In: Polyharmonic Boundary Value Problems. Lecture Notes in Mathematics(), vol 1991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12245-3_8
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DOI: https://doi.org/10.1007/978-3-642-12245-3_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12244-6
Online ISBN: 978-3-642-12245-3
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