Abstract
It is known that there exist obstacles to the solvability of the Dirichlet problem for strictly convex graphs of xn+1=F(x1, ..., xn) over a bounded strictly convex domain with a given positive Gaussian curvature. It is proved that there are no such obstacles for the analogous case in Minkowski space.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1704–1710, December, 1990.
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Delanoë, P. Dirichlet problem for the equation of a given Lorentz-Gaussian curvature. Ukr Math J 42, 1538–1545 (1990). https://doi.org/10.1007/BF01060827
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DOI: https://doi.org/10.1007/BF01060827