Plateau's Problem and the Calculus of Variations. (MN-35) / / Michael Struwe.

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 regul...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©1989
Year of Publication:2014
Edition:Course Book
Language:English
Series:Mathematical Notes ; 35
Online Access:
Physical Description:1 online resource (160 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • A. The "classical" Plateau problem for disc-type minimal surfaces
  • I. Existence of a solution
  • II. Unstable minimal surfaces
  • B. Surfaces of prescribed constant mean curvature
  • III. The existence of surfaces of prescribed constant mean curvature spanning a Jordan curve in IR3
  • IV. Unstable H-surfaces
  • References