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arXiv · 1208.2220

Radial graphs over domains of $\mathbb{S}^{n}$ with prescribed mean curvature

Paolo Caldiroli·Giovanni Gullino
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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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Paolo Caldiroli, Giovanni Gullino. 2012-08-10. Radial graphs over domains of $\mathbb{S}^{n}$ with prescribed mean curvature. https://arxiv.org/abs/1208.2220

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