Plateau s Problem and the Calculus of Variations MN 35 is popular PDF and ePub book, written by Michael Struwe in 2014-07-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Plateau s Problem and the Calculus of Variations MN 35 can be Read Online from any device for your convenience.
Plateau s Problem and the Calculus of Variations MN 35 Book PDF Summary
This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regularity theory for disc-type minimal and H-surfaces is given and recent advances toward general structure theorems concerning the existence of multiple solutions are explored in full detail. The book focuses on the author's derivation of the Morse-inequalities and in particular the mountain-pass-lemma of Morse-Tompkins and Shiffman for minimal surfaces and the proof of the existence of large (unstable) H-surfaces (Rellich's conjecture) due to Brezis-Coron, Steffen, and the author. Many related results are covered as well. More than the geometric aspects of Plateau's problem (which have been exhaustively covered elsewhere), the author stresses the analytic side. The emphasis lies on the variational method. Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Detail Book of Plateau s Problem and the Calculus of Variations MN 35 PDF
- Author : Michael Struwe
- Release : 14 July 2014
- Publisher : Princeton University Press
- ISBN : 9781400860210
- Genre : Mathematics
- Total Page : 159 pages
- Language : English
- PDF File Size : 7,7 Mb
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