Constant mean curvature graphs on exterior domains

Authors: Giovanna Citti Cosimo Senni

Publish Date: 2011/10/13

Volume: 272, Issue: 1-2, Pages: 531-550

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Abstract

We prove an existence result for nonrotational constant mean curvature ends in mathbbH2 times mathbbR where mathbbH2 is the hyperbolic real plane The value of the curvature is h in big0 frac12 big We use Schauder theory and a continuity method for solutions of the prescribed mean curvature equation on exterior domains of mathbbH2 We also prove a fine property of the asymptotic behavior of the rotational ends introduced by Sa Earp and Toubiana

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