In this short note, I posed a conjecture on Brunn-Minkwoski inequality and explain why we could be interested in this inequality, what is it meaning for further developing of some fully nonlinear elliptic equation come from geometry. The main part of the note devoted to discuss several different proof of classical Brunn-Minkowski inequality. Brunn-Minkowski inequality 1. Introduction I believe, every type of Brunn-Minkowski inequality, type of Brunn-Minkowski inequality is in some special sense …
