The Lp-Brunn-Minkowski inequality for p < 1

RIS ID

142777

Publication Details

Chen, S., Huang, Y., Li, Q. & Liu, J. (2020). The Lp-Brunn-Minkowski inequality for p < 1. Advances in Mathematics, 368

Abstract

2020 Elsevier Inc. In this paper, we confirm the Lp-Brunn-Minkowski inequality conjecture for p close to 1. The logarithmic-Brunn-Minkowski inequality is also verified for convex bodies close to the unit ball in Hausdorff distance.

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Link to publisher version (DOI)

http://dx.doi.org/10.1016/j.aim.2020.107166