Minimal Surfaces

• Main Authors: Dierkes, Ulrich (Author), Hildebrandt, Stefan (Author), Sauvigny, Friedrich (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, 339
• 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.

Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr. 339-341). Each volume can be read and studied independently of the others. The central theme is boundary value problems for minimal surfaces. The treatise is a substantially revised and extended vers...

Table of Contents:

• to the Geometry of Surfaces and to Minimal Surfaces
• Differential Geometry of Surfaces in Three-Dimensional Euclidean Space
• Minimal Surfaces
• Representation Formulas and Examples of Minimal Surfaces
• Plateau's Problem
• The Plateau Problem and the Partially Free Boundary Problem
• Stable Minimal- and H-Surfaces
• Unstable Minimal Surfaces
• Graphs with Prescribed Mean Curvature
• to the Douglas Problem
• Problems.