Grundlehren der mathematischen Wissenschaften

Minimal Surfaces

Authors: Dierkes, U., Hildebrandt, S., Sauvigny, F., Tromba, A.

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About this book

The three-volume treatise consists of the volumes Minimal Surfaces (GL 339), Regularity of Minimal Surfaces (GL 340), and Glolbal Theory of Minimal Surfaces (GL 341) that replace the monograph Minimal Surfaces I , II, published as volumes 295 and 296  of the Grundlehren der mathematischen Wissenschaft series.

Ther first volume covers the classical theory as well as existence results concerning boundary value problems for minimal surfaces, in particular results for Plateau's problem.

The second volume deals with basic regularity results for minimal surfaces concerning their boundary behaviour at Plateau boundaries and free boundaries. Moreover, exclosure theorems, isoperimetricc inequalities and existence theorems for surfaces of prescribed mean curvature in a Riemanian manifold and for the thread problem are discussed.

Finally, the third volume deals with geometric properties of minimal surfaces with free boundaries and with a priori gradient estimates for n-dimensional minimal surfaces, leading to various Bernstein-type theorems. Secondly, a global theory of minimal surfaces (as envisioned by Smale) is presented, including index theorems.

Buy this book

Special Cover Type $349.00
price for USA
  • ISBN 978-3-642-11715-2
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.

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Bibliographic Information

Bibliographic Information
Book Title
Minimal Surfaces
Authors
Series Title
Grundlehren der mathematischen Wissenschaften
Series Volume
339-341
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Special Cover Type ISBN
978-3-642-11715-2
Series ISSN
0072-7830
Edition Number
2
Number of Pages
L, 1910
Additional Information
Originally published as volumes 295 and 296 in series: Grundlehren der mathematischen Wissenschaft series
Topics