Minimal surfaces of codimension one /
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 d...
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| Format: | eBook |
| Language: | English |
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Amsterdam ; New York : New York, N.Y. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1984.
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| Series: | North-Holland mathematics studies ;
91. Notas de matemática (Rio de Janeiro, Brazil) ; no. 95. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Physical Description: | 1 online resource (xi, 242 pages) |
| Bibliography: | Includes bibliographical references (pages 233-240) and index. |
| ISBN: | 9780444868732 0444868739 9780080872025 0080872026 |