Plateaus Problem And The Calculus Of Variations Mn 35

Author : Michael Struwe
Publisher : Princeton University Press
ISBN 13 : 1400860210
Total Pages : 159 pages
Book Rating : 4.10/5 ( download)

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Download or read book Plateau's Problem and the Calculus of Variations. (MN-35) written by Michael Struwe and published by Princeton University Press. This book was released on 2014-07-14 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Michael Struwe
Publisher :
ISBN 13 : 9780691085104
Total Pages : 148 pages
Book Rating : 4.02/5 ( download)

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Download or read book Plateau's Problem and the Calculus of Variations written by Michael Struwe and published by . This book was released on 1988 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 paperback editions preserve the original texts of these important books while presenting them in durable paperback 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.

Author : Friedrich Tomi
Publisher : American Mathematical Soc.
ISBN 13 : 0821824457
Total Pages : 93 pages
Book Rating : 4.50/5 ( download)

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Download or read book Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour written by Friedrich Tomi and published by American Mathematical Soc.. This book was released on 1988 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a modern approach to the classical problem of Plateau based purely on differential geometric concepts. We not only reprove the classical results of Douglas but also develop a new geometric criterion on a given finite system of disjoint Jordan curves in three-dimensional Euclidean space which guarantees the existence of a minimal surface of a prescribed genus having these curves as boundary.

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Publisher :
ISBN 13 :
Total Pages : 2852 pages
Book Rating : 4.88/5 ( download)

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Download or read book American Men of Science written by and published by . This book was released on 1949 with total page 2852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Publisher :
ISBN 13 :
Total Pages : 676 pages
Book Rating : 4.75/5 ( download)

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Download or read book Journal of Differential Geometry written by and published by . This book was released on 1973 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bowker Editorial Staff
Publisher : R. R. Bowker
ISBN 13 : 9780835238007
Total Pages : 2776 pages
Book Rating : 4.08/5 ( download)

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Download or read book Subject Guide to Children's Books in Print 1997 written by Bowker Editorial Staff and published by R. R. Bowker. This book was released on 1996-09 with total page 2776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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ISBN 13 :
Total Pages : 1060 pages
Book Rating : 4.97/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : August Leopold Crelle
Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.00/5 ( download)

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Download or read book Journal für die reine und angewandte Mathematik written by August Leopold Crelle and published by . This book was released on 2003 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bernard Dacorogna
Publisher : World Scientific Publishing Company
ISBN 13 : 178326554X
Total Pages : 324 pages
Book Rating : 4.41/5 ( download)

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Download or read book Introduction to the Calculus of Variations written by Bernard Dacorogna and published by World Scientific Publishing Company. This book was released on 2014-08-13 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology. This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist — mathematicians, physicists, engineers, students or researchers — in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions. In this new edition, several new exercises have been added. The book, containing a total of 119 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

Author : Xerox University Microfilms
Publisher :
ISBN 13 :
Total Pages : 856 pages
Book Rating : 4.17/5 ( download)

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Download or read book Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics written by Xerox University Microfilms and published by . This book was released on 1973 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: