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Global Analysis of Minimal Surfaces

Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and u...

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Detalles Bibliográficos
Autores principales: Dierkes, Ulrich, Hildebrandt, Stefan, Tromba, Anthony J
Lenguaje:eng
Publicado: Springer 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-11706-0
http://cds.cern.ch/record/1412380
Descripción
Sumario:Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries. Here one of the main features is the possibility of 'edge-crawling' along free parts of the boundary. The third chapter deals with a priori estimates for minimal surfaces in higher dimensions and for minimizers of singular integ