The $L_p$ Chord Minkowski problem in a critical interval

Autor:	Guo, Lujun, Xi, Dongmeng, Zhao, Yiming
Rok vydání:	2023
Předmět:	Mathematics - Metric Geometry Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	Chord measures and $L_p$ 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 $L_p$ chord measure is known as the $L_p$ chord Minkowski problem, which includes the $L_p$ Minkowski problem heavily studied in the past 2 decades as special cases. In the current work, we solve the $L_p$ chord Minkowski problem when $0\leq p<1$, without symmetry assumptions. Comment: revised and to appear in Math. Ann
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.07603 Zobrazit plný text záznamu View this record from Arxiv