Abstract
In this paper we generalize in Lorentz-Minkowski space $l^3$ the two-dimensional analogue of the catenary of Euclidean space. We solve the Dirichlet problem for bounded mean convex domains and spacelike boundary data that have a spacelike extension to the domain. We also classify all singular maximal surfaces of $l^3$ invariant by a uniparametric group of translations and rotations.
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