Minimal Surfaces (Grundlehren der mathematischen Wissenschaften, 339-341)
ISBN-13:
9783642117152
ISBN-10:
3642117155
Edition:
2nd, rev. and enlarged ed. 2011
Author:
Anthony Tromba, Stefan Hildebrandt, Friedrich Sauvigny, Ulrich Dierkes
Publication date:
2010
Publisher:
Springer
Format:
Paperback
1960 pages
FREE US shipping
Book details
ISBN-13:
9783642117152
ISBN-10:
3642117155
Edition:
2nd, rev. and enlarged ed. 2011
Author:
Anthony Tromba, Stefan Hildebrandt, Friedrich Sauvigny, Ulrich Dierkes
Publication date:
2010
Publisher:
Springer
Format:
Paperback
1960 pages
Summary
Minimal Surfaces (Grundlehren der mathematischen Wissenschaften, 339-341) (ISBN-13: 9783642117152 and ISBN-10: 3642117155), written by authors
Anthony Tromba, Stefan Hildebrandt, Friedrich Sauvigny, Ulrich Dierkes, was published by Springer in 2010.
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Description
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.
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