shephard problem
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A variant of the L-Shephard problem via (p,q)-projection bodies

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125411 ◽

2021 ◽

pp. 125411

Author(s):

Denghui Wu ◽

Zhen-Hui Bu

Keyword(s):

Shephard Problem ◽

Projection Bodies

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General Blaschke Bodies and the Asymmetric Negative Solutions of Shephard Problem

Mathematics ◽

10.3390/math7070610 ◽

2019 ◽

Vol 7 (7) ◽

pp. 610

Author(s):

Tian Li ◽

Weidong Wang ◽

Yaping Mao

Keyword(s):

Surface Area ◽

Convex Bodies ◽

Affine Surface ◽

Affine Surface Area ◽

Extremal Values ◽

Shephard Problem ◽

Projection Bodies

In this article, based on the Blaschke combination of convex bodies, we define the general Blaschke bodies and obtain the extremal values of their volume and affine surface area. Further, we study the asymmetric negative solutions of the Shephard problem for the projection bodies.

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