Hungary-Israel Binational 2006_5
Source:
October 27, 2008
symmetryinequalities unsolvedinequalities
Problem Statement
If , , are nonnegative real numbers with the sum , find the maximum value of S \equal{} x^2(y \plus{} z) \plus{} y^2(z \plus{} x) \plus{} z^2(x \plus{} y) and C \equal{} x^2y \plus{} y^2z \plus{} z^2x.