A flow method for a generalization of \begin{document}$ L_{p} $\end{document} Christofell-Minkowski problem

In this paper, a generalitzation of the \begin{document}$ L_{p} $\end{document} -Christoffel-Minkowski problem is studied. We consider an anisotropic curvature flow and derive the long-time existence of the flow. Then under some initial data, we obtain the existence of smooth solutions to this problem for \begin{document}$ c = 1 $\end{document} .