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Minimal Surfaces II: Boundary Regularity /

Minimal Surfaces II: Boundary Regularity /
Catalogue Information
Field name Details
Dewey Class 516.36
Title Minimal Surfaces II ([EBook] :) : Boundary Regularity / / by Ulrich Dierkes, Stefan Hildebrandt, Albrecht Küster, Ortwin Wohlrab.
Author Dierkes, Ulrich
Added Personal Name Hildebrandt, Stefan author.
Küster, Albrecht author.
Wohlrab, Ortwin author.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1992.
Physical Details XI, 422 p. 98 illus., 10 illus. in color. : online resource.
Series Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 0072-7830 ; ; 296
ISBN 9783662087763
Summary Note 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.:
Contents note of Minimal Surfaces II -- III. Boundary Behaviour of Minimal Surfaces -- 7. The Boundary Regularity of Minimal Surfaces -- 8. Singular Boundary Points of Minimal Surfaces -- 9. Minimal Surfaces with Supporting Half-Planes -- IV. Ramifications: 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-08776-3
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