Nonuniqueness of solutions to the $L_p$ chord Minkowski problem

Yuanyuan Li

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arXiv · 2304.12714

Nonuniqueness of solutions to the $L_p$ chord Minkowski problem

Yuanyuan Li

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Abstract

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

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Yuanyuan Li. 2023-04-25. Nonuniqueness of solutions to the $L_p$ chord Minkowski problem. https://arxiv.org/abs/2304.12714

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