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The Lp-Brunn-Minkowski inequality for p���<���1

Journal Article


Abstract


  • 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.

Publication Date


  • 2020

Citation


  • Chen, S., Huang, Y., Li, Q. R., & Liu, J. (2020). The Lp-Brunn-Minkowski inequality for p���<���1. Advances in Mathematics, 368. doi:10.1016/j.aim.2020.107166

Scopus Eid


  • 2-s2.0-85083323660

Volume


  • 368

Issue


Place Of Publication


Abstract


  • 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.

Publication Date


  • 2020

Citation


  • Chen, S., Huang, Y., Li, Q. R., & Liu, J. (2020). The Lp-Brunn-Minkowski inequality for p���<���1. Advances in Mathematics, 368. doi:10.1016/j.aim.2020.107166

Scopus Eid


  • 2-s2.0-85083323660

Volume


  • 368

Issue


Place Of Publication