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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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