THE PROBLEM OF PLATEAUf
نویسنده
چکیده
1. Formulation. The problem of Plateau is to prove the existence of a minimal surface bounded by a given contour. The first and only complete solution of this problem was found by the present author [ l l l ] { ; in this solution the contour is an arbitrary Jordan curve in w-dimensional euclidean space. Besides this generality of result, the chief contribution of the work seems to lie in the introduction of a certain new functional A (g), which furnishes the key to the Plateau problem and makes clear its relationship to other fundamental problems of analysis. For definition of minimal surface, we take the formulas of Weierstrass,
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تاریخ انتشار 2007