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On a free boundary problem for minimal surfaces

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Abstract

ForC 4-embedded manifoldsS ⊂ ℝ3 which are differmorphic to the standard sphere in ℝ3 the existence of non-constant minimal surfaces bounded byS and intersectingS orthogonally along their boundaries is deduced.

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Authors and Affiliations

  1. Institut für angewandte Mathematik, Beringstr. 4, D-5300, Bonn 1, Federal Republic of Germany

    M. Struwe

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  1. M. Struwe
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This research was supported by the Sonderforschungsbereich 72 of the Deutsche-Forschungs-Gemeinschaft

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Struwe, M. On a free boundary problem for minimal surfaces. Invent Math 75, 547–560 (1984). https://doi.org/10.1007/BF01388643

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