General Lp Blaschke bodies and applications

In this paper, based on the $L_p$ Minkowski problem for $p>1$, we define the general $L_p$ Blaschke addition and general $L_p$ Blaschke bodies, reapectively, and obtain the extremal values of their volume and $L_p$ affine surface area. Further, as the applications, we study two negative forms of the Shephard problems.

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Publication Details

Journal
Pure Mathematical Sciences
Published
2025-01-01
DOI
https://doi.org/10.12988/pms.2025.91603
Primary Topic
Dermatological and Skeletal Disorders
Type
article
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article

General Lp Blaschke bodies and applications

Feixiang Chen, Zhanfei Zuo
Pure Mathematical Sciences
Dermatological and Skeletal Disorders
article

General Lp Blaschke bodies and applications

Feixiang Chen, Zhanfei Zuo
article en

Abstract

In this paper, based on the $L_p$ Minkowski problem for $p>1$, we define the general $L_p$ Blaschke addition and general $L_p$ Blaschke bodies, reapectively, and obtain the extremal values of their volume and $L_p$ affine surface area. Further, as the applications, we study two negative forms of the Shephard problems.

Pure Mathematical SciencesVol. 14(1)
Openalex Percentile: Top 85%
Dermatological and Skeletal Disorders
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General Lp Blaschke bodies and applications — Feixiang Chen, Zhanfei Zuo · Pure Mathematical Sciences (2025) | TGRS Research Map | TGRS