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Titlebook: On the Problem of Plateau; Tibor Radó Book 1993 Springer-Verlag Berlin Heidelberg 1993 Area.Calc.Minimal surface.Volume.boundary element m

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The non-parametric problem, form . = .. The exact statement of the problem is as follows. Given, in the .-plane, a Jordan curve ., and a continuous function . of the point . varying on .. Determine a function . which is continuous in and on ., which has continuous derivatives of the first and second orders inside of ., which
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Introduction, smallest possible length. The problem of determining and investigating a surface with given boundary and with a smallest possible area might then be considered as the most immediate two-dimensional variation problem.
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The simultaneous problem in the parametric form. Generalizations,This problem has been investigated in the following statement. Given, in the .-space, a Jordan curve .*, consider all the continuous surfaces, of the type of the circular disc (see I.8), bounded by .*, and suppose that the greatest lower bound a(.*) of their areas is finite. .. (see III.5), .?. u....
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Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folgehttp://image.papertrans.cn/o/image/701267.jpg
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