Nonuniqueness of solutions to the $L_p$ chord Minkowski problem

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发表日期：

2024年4月4日

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Yuanyuan Li

摘要

This paper explores the nonuniqueness of solutions to the $L_p$ $L_{p}$ chord Minkowski problem for negative p. The $L_p$ $L_{p}$ chord Minkowski problem was recently posed 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 $L_p$ $L_{p}$ chord measure of a convex body, and it includes the chord Minkowski problem and the $L_p$ $L_{p}$ Minkowski problem.

Nonuniqueness of solutions to the \(L_p\) chord Minkowski problem

摘要