On a non-homogeneous version of a problem of Firey

Christos Saroglou

We investigate the uniqueness for the Monge-Ampère type equation \begin{equation} \label{eq-abstract} det(u_{ij}+δ_{ij}u)_{i,j=1}^{n-1}=G(u),\ \ \ \ \ \ \ (*)\end{equation}on $S^{n…