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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Bibliographic Details
Main Author: Massari, Umberto
Other Authors: Miranda, Mario
Format: eBook
Language:English
Published: Amsterdam North-Holland 1984, 1984
Series:North-Holland mathematics studies
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Description
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
Physical Description:xi, 242 pages
ISBN:0444868739
9780080872025
9780444868732