Abstract
We investigate the problem of finding smooth hypersurfaces of constant mean curvature in hyperbolic space, which can be represented as radial graphs over a subdomain of the upper hemisphere. Our approach is variational and our main results are proved via rearrangement techniques.
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The second author was partially supported by NSF grant DMS 0603707.
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De Silva, D., Spruck, J. Rearrangements and radial graphs of constant mean curvature in hyperbolic space. Calc. Var. 34, 73–95 (2009). https://doi.org/10.1007/s00526-008-0176-3
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DOI: https://doi.org/10.1007/s00526-008-0176-3