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Plateau's Problem and the Calculus of Variations
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Bibliographic Detail
Publisher Princeton Univ Pr
Publication date April 19, 2016
Pages 160
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9780691636276
ISBN-10 0691636273
Dimensions 0 by 6 by 9 in.
Original list price $74.95
Other format details university press
Summaries and Reviews
Amazon.com description: Product Description:

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.



Editions
Hardcover
Book cover for 9780691636276
 
The price comparison is for this edition
from Princeton Univ Pr (April 19, 2016)
9780691636276 | details & prices | 160 pages | List price $74.95
About: 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.
Paperback
Book cover for 9780691085104 Book cover for 9780691607757
 
from Princeton Univ Pr (July 14, 2014)
9780691607757 | details & prices | 148 pages | 6.00 × 9.50 × 0.50 in. | 0.55 lbs | List price $29.95
About: 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.
from Princeton Univ Pr (February 1, 1989)
9780691085104 | details & prices | 6.25 × 9.50 × 0.50 in. | 0.50 lbs | List price $29.95
About: 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.

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