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A Maximum Principle at Infinity for Surfaces with Constant Mean Curvature in Euclidean Space

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Abstract

Maximum principles at infinity generalize Hopf's maximum principle for hypersurfaces with constant mean curvature in Rn. We establish such a maximum principle for parabolic surfaces in R3 with nonzero constant mean curvature and bounded Gaussian curvature.

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  1. IMPA, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro RJ, Brazil

    Ronaldo F. de Lima

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  1. Ronaldo F. de Lima
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de Lima, R.F. A Maximum Principle at Infinity for Surfaces with Constant Mean Curvature in Euclidean Space. Annals of Global Analysis and Geometry 20, 325–343 (2001). https://doi.org/10.1023/A:1013050905779

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  • DOI: https://doi.org/10.1023/A:1013050905779

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