Capillary surfaces of constant mean curvature in a right solid cylinder

Rafael López; Juncheol Pyo

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arXiv · 1410.5757

Capillary surfaces of constant mean curvature in a right solid cylinder

Rafael López·Juncheol Pyo

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Abstract

In this paper we investigate constant mean curvature surfaces with nonempty boundary in Euclidean space that meet a right cylinder at a constant angle along the boundary. If the surface lies inside of the cylinder, we obtain some results of symmetry by using the Alexandrov reflection method. When the mean curvature is zero, we give sufficient conditions to obtain that the surface is part of a plane or a catenoid.

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BibTeX RIS

Rafael López, Juncheol Pyo. 2014-10-21. Capillary surfaces of constant mean curvature in a right solid cylinder. https://arxiv.org/abs/1410.5757

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