Minimal surfaces of codimension one [electronic resource] / Umberto Massari and Mario Miranda.
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TextSeries: North-Holland mathematics studies ; 91. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 95.Publication details: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984. Description: 1 online resource (xi, 242 p.)ISBN: 9780444868732; 0444868739Subject(s): Minimal surfaces | Surfaces minimales | Minimal surfacesGenre/Form: Electronic books.Additional physical formats: Print version:: Minimal surfaces of codimension one.DDC classification: 510 | 516.3/6 LOC classification: QA1 | .N86 no. 95ebQA644 | .M37 1984ebOnline resources: ScienceDirect | Volltext 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.
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.
Includes bibliographical references (p. [233]-240) and index.
Description based on print version record.
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