Nonuniqueness of solutions to the L_p chord Minkowski problem

2023/04/25 by Li, Yuanyuan · 1 citation
#35A02 #35A15 #35A24 #Analysis of PDEs (math.AP) #F.2.2 #FOS: Mathematics #G.1.8

paper · doi:10.48550/arxiv.2304.12714

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.

Cited by

• The L_p chord Minkowski problem for super-critical exponent

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• The Lp chord Minkowski problem for negative p
• The L_p Chord Minkowski problem in a critical interval
• The L_p chord Minkowski problem for super-critical exponent
• Flow by Gauss Curvature to the orlicz Chord Minkowski Problem
• Non-uniqueness of solutions to the dual L_p-Minkowski problem