| 书目名称 | Minimal Surfaces | | 编辑 | Ulrich Dierkes,Stefan Hildebrandt,Friedrich Sauvig | | 视频video | http://file.papertrans.cn/635/634521/634521.mp4 | | 概述 | Long expected 2nd ed. of the Grundlehren vol..Includes supplementary material: | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr. 339-341). Each volume can be read and studied independently of the others. The central theme is boundary value problems for minimal surfaces.The treatise is a substantially revised and extended version of the monograph Minimal Surfaces I, II (Grundlehren Nr. 295 & 296).The first volume begins with an exposition of basic ideas of the theory of surfaces in three-dimensional Euclidean space, followed by an introduction of minimal surfaces as stationary points of area, or equivalently, as surfaces of zero mean curvature. The final definition of a minimal surface is that of a nonconstant harmonic mapping X: Omega oR^3 which is conformally parametrized on OmegasubsetR^2 and may have branch points. Thereafter the classical theory of minimal surfaces is surveyed, comprising many examples, a treatment of Björling´s initial value problem, reflection principles, a formula of the second variation of area, the theorems of Bernstein, Heinz, Osserman, and Fujimoto.The second part of this volume begins with a survey of Plateau´s problem and of some of its modifications. One of the main features is | | 出版日期 | Book 2010Latest edition | | 关键词 | Boundary value problem; Mean curvature; Minimal surface; Plateau‘s problem; calculus of variations; confo | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-642-11698-8 | | isbn_softcover | 978-3-642-26527-3 | | isbn_ebook | 978-3-642-11698-8Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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