The Lp chord Minkowski problem for super-critical exponent
Abstract
The L p 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 L p chord measure of a convex body. In this paper, we solve the L p chord Minkowski problem for the super-critical exponents by combining a nonlocal Gauss curvature flow introduced in [17] and a topological argument developed in [14] . Notably, we provide a simplified argument for the topological part.
Fields of Study & Subjects
Medical Imaging Techniques and Applications
Point processes and geometric inequalities
Mathematical Approximation and Integration
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 502
- Pages
- 111134–111134
- Publication date
- 20 July 2026
- Language
- EN