Yuanyuan Li — Neckpinchhttps://neckpinch.com/authors/yuanyuan-li/New arXiv papers by Yuanyuan Li, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT The Lₚ chord Minkowski problem for super-critical exponenthttps://neckpinch.com/papers/2510.01084/arxiv:2510.01084Wed, 01 Oct 2025 00:00:00 GMTShibing Chen, Qi-Rui Li, Yuanyuan Li — The Lₚ 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 Lₚ chord measure of a convex body. In this paper, we solve the Lₚ 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.Other curvature flowsGauss curvature flow