The chord Minkowski problem for super-critical exponent
The chord Minkowski problem was recently introduced by Lutwak, Xi, Yang and Zhang, which seeks to determine the necessary and sufficient conditions for a given finite Borel measure such that it is the chord measure of a convex body. In this paper, we solve the chord Minkowski problem for the super-critical exponents by combining a nonlocal Gauss curvature flow introduced in and a topological argument developed in. Notably, we provide a simplified argument for the topological part.