#### Vol. 12, No. 7, 2019

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Spacelike radial graphs of prescribed mean curvature in the Lorentz–Minkowski space

### Denis Bonheure and Alessandro Iacopetti

Vol. 12 (2019), No. 7, 1805–1842
##### Abstract

We investigate the existence and uniqueness of spacelike radial graphs of prescribed mean curvature in the Lorentz–Minkowski space ${\mathbb{L}}^{n+1}$, for $n\ge 2$, spanning a given boundary datum lying on the hyperbolic space ${ℍ}^{n}$.

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prescribed mean curvature, Plateau's problem, $H$-surfaces, Lorentz–Minkowski space