Abstract
We study the Dirichlet problem in a bounded domain for the fully nonlinear elliptic partial differential equation of second order expressing the prescription of the m th symmetric function of the principal curvatures of a spacelike hypersurface in the Minkowski space R n,1 . We solve the prescribed scalar curvature equation ( m=2) in R 3,1 , when the domain Ω and the Dirichlet data are strictly convex.
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