We prove the existence and uniqueness of radial graphs over a given domain of Sn having boundary on the sphere Sn and whose mean curvature at every point equals a prescribed positive function satisfying suitable barrier-type and monotonicity conditions.
Radial graphs over domains of Sn with prescribed mean curvature
CALDIROLI, Paolo;GULLINO, Giovanni
2013-01-01
Abstract
We prove the existence and uniqueness of radial graphs over a given domain of Sn having boundary on the sphere Sn and whose mean curvature at every point equals a prescribed positive function satisfying suitable barrier-type and monotonicity conditions.
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