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
G. Citti, C. Senni (2012). Constant mean curvature graphs on exterior domains of the hyperbolic plane. MATHEMATISCHE ZEITSCHRIFT, 272, 531-550 [10.1007/s00209-011-0948-x].
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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