The $L_p$ Chord Minkowski problem in a critical interval
Metric Geometry
2023-09-14 v2 Classical Analysis and ODEs
Abstract
Chord measures and chord measures were recently introduced by Lutwak-Xi-Yang-Zhang by establishing a variational formula regarding a family of fundamental integral geometric invariants called chord integrals. Prescribing the chord measure is known as the chord Minkowski problem, which includes the Minkowski problem heavily studied in the past 2 decades as special cases. In the current work, we solve the chord Minkowski problem when , without symmetry assumptions.
Keywords
Cite
@article{arxiv.2301.07603,
title = {The $L_p$ Chord Minkowski problem in a critical interval},
author = {Lujun Guo and Dongmeng Xi and Yiming Zhao},
journal= {arXiv preprint arXiv:2301.07603},
year = {2023}
}
Comments
revised and to appear in Math. Ann