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New examples of Calabi–Bernstein problems for some nonlinear equations

✍ Scribed by José M. Latorre; Alfonso Romero

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 80 KB
Volume: 15
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(01)00057-2

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✦ Synopsis

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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