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Global analysis of minimal surfaces

Author: Ulrich Dierkes; Stefan Hildebrandt; Anthony Tromba
Publisher: Heidelberg ; London ; New York : Springer, ©2010.
Series: Grundlehren der mathematischen Wissenschaften, 341.
Edition/Format:   Book : English : Rev. and enl. 2nd edView all editions and formats
Database:WorldCat
Summary:

This is the third of a three-volume treatise on minimal surfaces. It deals with geometric properties of minimal surfaces with free boundaries and with a priori gradient estimates for n-dimensional  Read more...

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Details

Document Type: Book
All Authors / Contributors: Ulrich Dierkes; Stefan Hildebrandt; Anthony Tromba
ISBN: 9783642117053 3642117058
OCLC Number: 506253065
Notes: "This book is the third volume of a treatise on minimal surfaces consisting of altogether three volumes ... The present treatise forms a greatly expanded version of ... Minimal surfaces I, II by U. Dierkes, S. Hildebrandt, A. Küster, and O. Wohlrab, published in 1992"--Pref.
The other volumes in the treatise issued in 2010 by these authors are titled Minimal surfaces, and, Regularity of minimal surfaces.
Description: xvi, 537 p. : ill. (some col.) ; 24 cm.
Contents: Introduction.- Part I. Free Boundaries and Bernstein Theorems.- 1.Minimal Surfaces with Supporting Half-Planes.- 2.Embedded Minimal Surfaces with Partially Free Boundaries.- 3.Bernstein Theorems and Related Results.- Part II. Global Analysis of Minimal Surfaces.- 4.The General Problem of Plateau: Another Approach.- 5.The Index Theorems for Minimal Surfaces of Zero and Higher Genus.- 6.Euler Characteristic and Morse Theory for Minimal Surfaces.- Bibliography.- Index.
Series Title: Grundlehren der mathematischen Wissenschaften, 341.
Responsibility: Ulrich Dierkes, Stefan Hildebrandt, Anthony J. Tromba.
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From the reviews of the second edition: "The most complete and thorough record of the ongoing efforts to justify Lagrange's optimism. ... contain a wealth of new material in the form of newly written Read more...

 
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