Radial graphs over domains of {mathbb{S}^n} with prescribed mean curvature |
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| Authors: | Paolo Caldiroli Giovanni Gullino |
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| Affiliation: | 1. Dipartimento di Matematica, Università di Torino, via Carlo Alberto, 10, 10123, Torino, Italy
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| 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. |
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