Minimal surfaces of codimension one [E-Book] / Umberto Massari and Mario Miranda.
Massari, Umberto,
Miranda, Mario,
Amsterdam ; New York : New York, N.Y. : North-Holland ; 1984
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (xi, 242 p.)
englisch
9780444868732
0444868739
North-Holland mathematics studies ; 91
Notas de matematica ; 95
Full Text
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.