Regularity of Minimal Surfaces by Ulrich Dierkes, Stefan Hildebrandt, Anthony Tromba.

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 bou...

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Bibliographic Details
Main Authors: Dierkes, Ulrich (Author), Hildebrandt, Stefan (Author), Tromba, Anthony (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edition:2nd ed. 2010.
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 340
Springer eBook Collection.
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Online Access:Click to view e-book
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Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Boundary Behaviour of Minimal Surfaces
  • Minimal Surfaces with Free Boundaries
  • The Boundary Behaviour of Minimal Surfaces
  • Singular Boundary Points of Minimal Surfaces
  • Geometric Properties of Minimal Surfaces
  • Enclosure and Existence Theorems for Minimal Surfaces and H-Surfaces. Isoperimetric Inequalities
  • The Thread Problem
  • Branch Points.