The prescribed curvature problem for entire hypersurfaces in Minkowski space

Changyu Ren, Zhizhang Wang, Ling Xiao

We prove three results in this paper. First, we prove for a wide class of functions $\phi \in C^2({\mathbb{S}}^{n-1})$ and $\psi (X,\nu )\in C^2({\mathbb{R}}^{n+1}\times {\mathbb{H}}^n),$ there exi…