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arxiv: 0709.3327 · v1 · submitted 2007-09-21 · 🧮 math.AP

Rearrangements and radial graphs of constant mean curvature in hyperbolic space

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keywords constantcurvaturegraphshyperbolicmeanradialspaceapproach
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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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