On the $L_p$ Brunn-Minkowski theory and the $L_p$ Minkowski problem for $C$-coconvex sets

Jin Yang, Deping Ye, Baocheng Zhu

Let $C$ be a pointed closed convex cone in ${\mathbb{R}}^n$ with vertex at the origin $o$ and having nonempty interior. The set $A\subset C$ is $C$-coconvex if the volume of $A$ is f…