The Plateau Problem and the Partially Free Boundary Problem for Minimal Surfaces
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. Plateau, although it had been formulated much earlier by Lagrange, Meusnier, and other mathematicians. It is the question of finding a surface of least area spanned by a given closed Jordan curve Γ.
KeywordsMinimal Surface Branch Point Jordan Curve Soap Film Plateau Problem
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