We prove an existence result for non-rotational constant mean curvature ends of graphs on the hyperbolic real plane. We use Schauder theory and a continuity method for solutions of the prescribed mean curvature equation on exterior domains. We also prove a fine property of the asymptotic behavior of the rotational ends introduced by Sa Earp and Toubiana
Constant mean curvature graphs on exterior domains of the hyperbolic plane
CITTI, GIOVANNA;SENNI GUIDOTTI MAGNANI, COSIMO
2012
Abstract
We prove an existence result for non-rotational constant mean curvature ends of graphs on the hyperbolic real plane. We use Schauder theory and a continuity method for solutions of the prescribed mean curvature equation on exterior domains. We also prove a fine property of the asymptotic behavior of the rotational ends introduced by Sa Earp and ToubianaFile in questo prodotto:
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