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Rearrangements and radial graphs of constant mean curvature in hyperbolic space |
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| Authors: | D De Silva J Spruck |
| Institution: | (1) Department of Mathematics, Barnard College, Columbia University, New York, NY 10027, USA;(2) Department of Mathematics, Johns Hopkins University, Baltimore, MD 21218, USA |
| 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. The second author was partially supported by NSF grant DMS 0603707. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 53C40 53A10 35B45 |
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