the least value for :$\frac{a}{b^3+54}+\frac{b}{c^3+54}+\frac{c}{a^3+54}$ - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-18T22:58:38Z http://mathoverflow.net/feeds/question/118792 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/118792/the-least-value-for-fracab354-fracbc354-fracca354 the least value for :$\frac{a}{b^3+54}+\frac{b}{c^3+54}+\frac{c}{a^3+54}$ tiv 2013-01-13T09:44:42Z 2013-01-13T09:44:42Z <p>For every $a,b,c$ non-negative real number such that:$a+b+c=1$ how to find the least value for :</p> <p>$$\frac{a}{b^3+54}+\frac{b}{c^3+54}+\frac{c}{a^3+54}$$</p>