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＜電子ブック＞
Minimal Surfaces I : Boundary Value Problems / by Ulrich Dierkes, Stefan Hildebrandt, Albrecht Küster, Ortwin Wohlrab
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 295)

版	1st ed. 1992.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	XIII, 508 p. 383 illus., 27 illus. in color : online resource
著者標目	*Dierkes, Ulrich author Hildebrandt, Stefan author Küster, Albrecht author Wohlrab, Ortwin author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:System theory LCSH:Control theory LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical physics FREE:Differential Geometry FREE:Systems Theory, Control FREE:Calculus of Variations and Optimization FREE:Theoretical, Mathematical and Computational Physics
一般注記	Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation 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 alsobe 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 fornonlinear 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 HTTP:URL=https://doi.org/10.1007/978-3-662-02791-2

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