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Radial graphs over domains of {mathbb{S}^n} with prescribed mean curvature
Authors:Paolo Caldiroli  Giovanni Gullino
Affiliation:1. Dipartimento di Matematica, Università di Torino, via Carlo Alberto, 10, 10123, Torino, Italy
Abstract:We prove the existence and uniqueness of radial graphs over a given domain of ${mathbb{S}^n}$ having boundary on the sphere ${mathbb{S}^n}$ and whose mean curvature at every point equals a prescribed positive function satisfying suitable barrier-type and monotonicity conditions.
Keywords:
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