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In dem Gebiet nichtlinearer mehrdimensionaler Variationsprobleme spielt die Behandlung von Randwertproblemen fur Minimalflachen eine ausgezeichnete Rolle. Untersuchungen uber ihr Verhalten am Rand,… Continue Reading
Using the method of Minkowski or Alexandrov one finds simple discretizations of elliptic Monge-Ampere equations, including the equation of graphs with prescribed positive Gaussian curvature. It is… Continue Reading
In this chapter we deal with the boundary behaviour of minimal surfaces with particular emphasis on the behaviour of stationary surfaces at their free boundaries. This and the following chapter will… Continue Reading
The remainder of this book is essentially devoted to boundary value problems for minimal surfaces. The simplest of such problems was named Plateau’s problem, in honour of the Belgian physicist J.A.F.… Continue Reading
Reading and recording apparatus for cards having at least one magnetic track in which the card is held stationary and a magnetic head suspended in gimbals is utilized to read or write upon the card.
In this chapter we shall present an introduction to the general problem of Plateau that, justifiedly, is often called the Douglas problem. This is the question whether a configuration of several… Continue Reading
In this chapter we shall discuss certain quantitative geometric properties of minimal surfaces.