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Regularity of Minimal Surfaces
"Regularity of Minimal Surfaces" begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions...
| Autores principales: | , , , |
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| Lenguaje: | eng |
| Publicado: |
Springer
2010
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/978-3-642-11700-8 http://cds.cern.ch/record/1412378 |
| Sumario: | "Regularity of Minimal Surfaces" begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is t |
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