http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
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.
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.
Includes bibliographical references (pages 233-240) and index.
Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984
Notas de matemática (Rio de Janeiro, Brazil) ; no. 95
125019:123012 Elsevier Science & Technology