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On the boundary behaviour of partially free minimal surfaces

Research paper by Gerhard Dziuk

Indexed on: 01 Feb '81Published on: 01 Feb '81Published in: Manuscripta Mathematica



Abstract

Let S be a smooth surface in Euclidean 3-space and let C be a smooth curve having its end points on S. Consider a surface x, bounded by the configuration <S,C>, which minimizes Dirichlet's integral. We describe the local behaviour of x at the points where the arc C meets the boundary surface S.