A Class of Shephard type Problems for $L_p$-CentroidBodies

Zhou Yanping; He Binwu

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A Class of Shephard type Problems for $L_p$-CentroidBodies

Zhou Yanping, He Binwu

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Funding: NationalNatural Science Foundation of China （No.11371239）, Foundation for the DoctoralPrograms of Higher Education of China （No.20123108110001）

Opened online:20 May 2016

Accepted by: none

Citation: Zhou Yanping, He Binwu.A Class of Shephard type Problems for $L_p$-CentroidBodies[OL]. [20 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4690561

Lutwak and Zhang proposed the notion of $L_p$-centroid body. Wang and Qi introduced the concept of $L_p$-dual geominimal surface area. Combining both $L_p$-centroid body and $L_p$-dual geominimal surface area, the Shephard type problems for $L_p$-centroid body are researched.

Keywords:$L_p$-centroid body, Shephard problems, $L_p$-dual geominimal surface area

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