https://neckpinch.com/authors/shibing-chen/New arXiv papers by Shibing Chen, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://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 https://neckpinch.com/papers/2202.10074/arxiv:2202.10074Mon, 21 Feb 2022 00:00:00 GMTShibing Chen, Yibin Feng, Weiru Liu — In this paper, we prove the uniqueness of solutions to the logarithmic Minkowski problem in ℝ³ without symmetry condition, provided the density of the measure is close to 1 in C^α norm. This result also implies the uniqueness of self-similar solutions to the anisotropic Gauss curvature flow in ℝ³ when the speed function is C^α close to a positive constant.Other curvature flowsGauss curvature flowAnisotropic & nonlocal flowsStability & uniqueness