Regularity of Minimal Surfaces

• Main Authors: Dierkes, Ulrich (Author), Hildebrandt, Stefan (Author), Tromba, Anthony J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 340
• Subjects: Mathematics.; Functions of complex variables.; Partial differential equations.; Differential geometry.; Calculus of variations.; Physics.; Calculus of Variations and Optimal Control; Optimization.; Differential Geometry.; Partial Differential Equations.; Functions of a Complex Variable.; Theoretical, Mathematical and Computational Physics.

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...

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.