Minimal Surfaces and Functions of Bounded Variation

Lingua: inglese

Editore: Birkhäuser, Birkhäuser, 1984

0817631534 / 9780817631536

Serie: Libro 1 di 29 - Monographs in Mathematics

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-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].

Codice articolo 9780817631536

Titolo
Minimal Surfaces and Functions of Bounded Variation
Autore
Giusti
Editore
Birkhäuser, Birkhäuser
Anno di pubblicazione
1984
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
0817631534
ISBN 13
9780817631536
Peso dell'articolo
394 grammi
Dimensioni
235x155x15 mm
Serie
Libro 1 di 29: Monographs in Mathematics

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 7 giorni lavorativiDa 7 a 10 giorni lavorativi
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