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...

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Detalles Bibliográficos
Autores principales: Dierkes, Ulrich, Hildebrandt, Stefan, Tromba, Anthony J, Kuster, Albrecht
Lenguaje:eng
Publicado: Springer 2010
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-11700-8
http://cds.cern.ch/record/1412378
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author Dierkes, Ulrich
Hildebrandt, Stefan
Tromba, Anthony J
Kuster, Albrecht
author_facet Dierkes, Ulrich
Hildebrandt, Stefan
Tromba, Anthony J
Kuster, Albrecht
author_sort Dierkes, Ulrich
collection CERN
description "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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
publisher Springer
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spelling cern-14123782021-04-22T00:45:23Zdoi:10.1007/978-3-642-11700-8http://cds.cern.ch/record/1412378engDierkes, UlrichHildebrandt, StefanTromba, Anthony JKuster, AlbrechtRegularity of Minimal SurfacesMathematical Physics and Mathematics"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 tSpringeroai:cds.cern.ch:14123782010
spellingShingle Mathematical Physics and Mathematics
Dierkes, Ulrich
Hildebrandt, Stefan
Tromba, Anthony J
Kuster, Albrecht
Regularity of Minimal Surfaces
title Regularity of Minimal Surfaces
title_full Regularity of Minimal Surfaces
title_fullStr Regularity of Minimal Surfaces
title_full_unstemmed Regularity of Minimal Surfaces
title_short Regularity of Minimal Surfaces
title_sort regularity of minimal surfaces
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-11700-8
http://cds.cern.ch/record/1412378
work_keys_str_mv AT dierkesulrich regularityofminimalsurfaces
AT hildebrandtstefan regularityofminimalsurfaces
AT trombaanthonyj regularityofminimalsurfaces
AT kusteralbrecht regularityofminimalsurfaces

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