书目名称 | Minimal Surfaces II |
副标题 | Boundary Regularity |
编辑 | Ulrich Dierkes,Stefan Hildebrandt,Ortwin Wohlrab |
视频video | |
丛书名称 | Grundlehren der mathematischen Wissenschaften |
图书封面 |  |
描述 | 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 |
出版日期 | Book 19921st edition |
关键词 | Minimal surface; analysis; calculus of variations; differential geometry; minimal surfaces; nonlinear bou |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-08776-3 |
isbn_ebook | 978-3-662-08776-3Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
issn_series | 0072-7830 |
copyright | Springer-Verlag Berlin Heidelberg 1992 |