The minimal Orlicz surface area

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40009

Advances in Applied Mathematics, 61, (2), 25–45, 2014.8
Petty proved that a convex body in R^n has the minimal surface area amongst its SL(n)images, if, and only if, its surface area measure is isotropic. By introducing a new notion of minimal Orlicz surface area, we generalize this result to the Orlicz setting. The analog of Ball’s reverse isoperimetric inequality is established.
Minimal surface area; Reverse isoperimetric inequality; Orlicz Brunn–Minkowski theory
[ Download ] [ 2017-02-28 13:09:22 uploaded by xiongge ] [ 701 downloads ] [ 0 comments ]
  title={The minimal Orlicz surface area},
  author={Zou Du, and Xiong Ge},
  booktitle={Advances in Applied Mathematics},
Zou Du, and Xiong Ge. The minimal Orlicz surface area. 2014. Vol. 61. In Advances in Applied Mathematics. pp.25–45.
Please log in for comment!
Contact us: | Copyright Reserved