Problem

Source: 6-th Hong Kong Mathematical Olympiad 2003

Tags: LaTeX, inequalities proposed, inequalities



Find the greatest real number $K$ such that for all positive real number $u,v,w$ with $u^{2}>4vw$ we have $(u^{2}-4vw)^{2}>K(2v^{2}-uw)(2w^{2}-uv)$