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 ${ℍ}^{n}$.

Keywords
prescribed mean curvature, Plateau's problem, $H$-surfaces, Lorentz–Minkowski space
Mathematical Subject Classification 2010
Primary: 53A10
Secondary: 35J66, 53C50