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Plateau's Problem and the Calculus of Variations (Mathematical Notes, 35) [Paperback] Struwe, Michael

Plateau's Problem and the Calculus of Variations (Mathematical Notes, 35) [Paperback] Struwe, Michael

Plateau's Problem and the Calculus of Variations (Mathematical Notes, 35)
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Plateau's Problem and the Calculus of Variations (Mathematical Notes, 35) [Paperback] Struwe, Michael Paperback - 2014

by Michael Struwe

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  • Title Plateau's Problem and the Calculus of Variations (Mathematical Notes, 35) [Paperback] Struwe, Michael
  • Author Michael Struwe
  • Binding Paperback
  • Condition New
  • Pages 160
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press
  • Publication date 2014-07-14
  • Bookseller's Inventory # 0691607753_new
  • ISBN 9780691607757 / 0691607753
  • Weight 0.51 lbs (0.23 kg)
  • Dimensions 9.21 x 6.14 x 0.34 in (23.39 x 15.60 x 0.86 cm)
  • Category Mathematics
  • Dewey Decimal Code 516.362
  • Quantity available 4

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Reader reviews for Plateau's Problem and the Calculus of Variations (Mathematical Notes, 35) [Paperback] Struwe, Michael

From the publisher

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.

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