The chord Gauss curvature flow and its $L_p$ chord Minkowski problem

In this paper, the $L_p$ chord Minkowski problem is concerned. Based on the results showed in \cite{HJ23}, we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvature flow for $p>-n$ with $p\mathrm{\ne }0$.