Minimal Surfaces and Functions of Bounded Variation

Language: English

Published by Birkhäuser, 1984

0817631534 / 9780817631536

Series: Book 1 of 29 - Monographs in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent years. Called the problem of Plateau, after the blind physicist who did beautiful experiments with soap films and bubbles, it has resisted the efforts of many mathematicians for more than a century. It was only in the thirties that a solution was given to the problem of Plateau in 3-dimensional Euclidean space, with the papers of Douglas [DJ] and Rado [R T1, 2]. The methods of Douglas and Rado were developed and extended in 3-dimensions by several authors, but none of the results was shown to hold even for minimal hypersurfaces in higher dimension, let alone surfaces of higher dimension and codimension. It was not until thirty years later that the problem of Plateau was successfully attacked in its full generality, by several authors using measure-theoretic methods; in particular see De Giorgi [DG1, 2, 4, 5], Reifenberg [RE], Federer and Fleming [FF] and Almgren [AF1, 2]. Federer and Fleming defined a k-dimensional surface in IR' as a k-current, i. e. a continuous linear functional on k-forms. Their method is treated in full detail in the splendid book of Federer [FH 1].…

Seller Inventory # 9780817631536

Title
Minimal Surfaces and Functions of Bounded Variation
Author
Giusti
Publisher
Birkhäuser
Publication year
1984
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0817631534
ISBN 13
9780817631536
Item weight
394 grams
Dimensions
235x155x15 mm
Series
Book 1 of 29: Monographs in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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