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AuthorDierkes, Ulrich. author
TitleMinimal Surfaces II [electronic resource] : Boundary Regularity / by Ulrich Dierkes, Stefan Hildebrandt, Albrecht Kรผster, Ortwin Wohlrab
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992
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Descript XI, 422 p. 98 illus., 10 illus. in color. online resource


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


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

Mathematics System theory Differential geometry Calculus of variations Physics Mathematics Differential Geometry Systems Theory Control Calculus of Variations and Optimal Control; Optimization Theoretical Mathematical and Computational Physics


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