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The $L_p$ chord Minkowski problem based on Chord measures and $L_p$ chordmeasures introduced firstly by Lutwak, Xi, Yang and Zhang [38] is a veryimportant and meaningful geometric measure problem in the $L_p$ Brunn-Minkowskitheory. Xi, Yang, Zhang and Zhao [45] using variational methods gave a measuresolution when $p > 1$ and $0<p<1$ in the symmetric case. Recently, Guo, Xi andZhao [18] also obtained a measure solution for $0\leq p<1$ by similar methodswithout the symmetric assumption.  In the present paper, we investigate and confirm the orlicz chord Minkowskiproblem, which generalizes the $L_p$ chord Minkowski problem by replacing $p$with a fixed continuous function $\varphi:(0,\infty)\rightarrow(0,\infty)$, andachieve the existence of smooth solutions to the orlicz chord Minkowski problemby using methods of Gauss curvature flows.

Flow by Gauss Curvature to the orlicz Chord Minkowski Problem