Rearrangements and radial graphs of constant mean curvature in hyperbolic space

Details Rearrangements and radial graphs of constant mean curvature in hyperbolic space Rearrangements and radial graphs of constant mean curvature in hyperbolic space

2007-09-21

arxiv.org/abs/0709.3327v1

Mathematics

Analysis of PDEs

Scientific paper

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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