Minimal Surfaces II : Boundary Regularity

Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for stude...

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Main Authors: Dierkes, Ulrich, Hildebrandt, Stefan (Author), Küster, Albrecht (Author), Wohlrab, Ortwin (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1992, 1992
Edition:1st ed. 1992
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Minimal Surfaces II  |h Elektronische Ressource  |b Boundary Regularity  |c by Ulrich Dierkes, Stefan Hildebrandt, Albrecht Küster, Ortwin Wohlrab 
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260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1992, 1992 
300 |a XI, 422 p. 98 illus., 10 illus. in color  |b online resource 
505 0 |a The Thread Problem. The General Plateau Problem -- 10. The Thread Problem -- 11. The General Problem of Plateau -- Index of Names -- Index of Illustrations -- Minimal Surfaces II -- Minimal Surfaces I -- Sources of Illustrations of Minimal Surfaces II. 
653 |a Differential Geometry 
653 |a Differential geometry 
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653 |a System theory 
653 |a Mathematical physics 
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653 |a Theoretical, Mathematical and Computational Physics 
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700 1 |a Küster, Albrecht  |e [author] 
700 1 |a Wohlrab, Ortwin  |e [author] 
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520 |a Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can also be useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory for nonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature