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221028 ||| eng |
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|a 0444868739
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|a 9780080872025
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|a 9780444868732
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| 050 |
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4 |
|a QA1
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|a QA644
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|a Massari, Umberto
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|a Minimal surfaces of codimension one
|c Umberto Massari and Mario Miranda
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| 260 |
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|a Amsterdam
|b North-Holland
|c 1984, 1984
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| 300 |
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|a xi, 242 pages
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| 505 |
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|a Includes bibliographical references (pages 233-240) and index
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| 505 |
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|a Front Cover; Minimal Surfaces of Codimension One; Copyright Page; Preface; Contents; Introduction; CHAPTER ONE. DIFFERENTIAL PROPERTIES OF SURFACES; CHAPTER TWO. SETS OF FINITE PERIMETER AND MINIMAL BOUNDARIES; CHAPTER THREE. THE DIRICHLET PROBLEM FOR THE MINIMAL SURFACE EQUATION; CHAPTER FOUR. UNBOUNDED SOLUTIONS; Appendix; References; Analytic index; List of symbols
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| 653 |
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|a Surfaces minimales
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| 653 |
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|a Geometric figures: Surfaces / Differential geometry
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| 653 |
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|a MATHEMATICS / Geometry / Differential / bisacsh
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| 653 |
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|a Minimal surfaces / fast / (OCoLC)fst01022850
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| 653 |
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|a Minimal surfaces / http://id.loc.gov/authorities/subjects/sh85130739
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| 700 |
1 |
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|a Miranda, Mario
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
0 |
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|a North-Holland mathematics studies
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| 776 |
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|z 9780080872025
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| 776 |
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|z 0080872026
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| 856 |
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|u https://www.sciencedirect.com/science/bookseries/03040208/91
|x Verlag
|3 Volltext
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| 082 |
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|a 510
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|a 516.3/6
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| 520 |
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|a This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem. The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems
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