Abstract
All the entire solutions to the maximal surface equation in certain 3-dimensional Lorentzian manifolds, obeying the null energy condition, are obtained. Thus, we solve new Calabi–Bernstein problems. As a consequence, the corresponding parametric versions are also given. The behaviour of this Calabi–Bernstein property with respect to an special family of C 2 -perturbations of Lorentz–Minkowski space L 3 is investigated
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