Nonuniqueness of solutions to the Lp-Minkowski problem

Huaiyu Jian; Jian Lu; Xu Jia Wang

doi:10.1016/j.aim.2015.05.010

Nonuniqueness of solutions to the L_p-Minkowski problem

Huaiyu Jian, Jian Lu^*, Xu Jia Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

80 Citations (Scopus)

Abstract

In this paper we show by example that there is no uniform estimate for the L_p-Minkowski problem. As a result we obtain the nonuniqueness of solutions to the problem.

Original language	English
Pages (from-to)	845-856
Number of pages	12
Journal	Advances in Mathematics
Volume	281
DOIs	https://doi.org/10.1016/j.aim.2015.05.010
Publication status	Published - 1 Aug 2015

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title = "Nonuniqueness of solutions to the Lp-Minkowski problem",

abstract = "In this paper we show by example that there is no uniform estimate for the Lp-Minkowski problem. As a result we obtain the nonuniqueness of solutions to the problem.",

keywords = "Minkowski problem, Monge-Amp{\`e}re equation, Nonuniqueness",

author = "Huaiyu Jian and Jian Lu and Wang, {Xu Jia}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

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doi = "10.1016/j.aim.2015.05.010",

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AU - Jian, Huaiyu

AU - Lu, Jian

AU - Wang, Xu Jia

PY - 2015/8/1

Y1 - 2015/8/1

N2 - In this paper we show by example that there is no uniform estimate for the Lp-Minkowski problem. As a result we obtain the nonuniqueness of solutions to the problem.

AB - In this paper we show by example that there is no uniform estimate for the Lp-Minkowski problem. As a result we obtain the nonuniqueness of solutions to the problem.

KW - Minkowski problem

KW - Monge-Ampère equation

KW - Nonuniqueness

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U2 - 10.1016/j.aim.2015.05.010

DO - 10.1016/j.aim.2015.05.010

M3 - Article

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VL - 281

SP - 845

EP - 856

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Nonuniqueness of solutions to the L_p-Minkowski problem

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