%0 Journal Article %T Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems %A Hichem Hajaiej %A Marco Squassina %J Mathematics %D 2009 %I arXiv %X We generalize Polya-Szego inequality to integrands depending on $u$ and its gradient. Under minimal additional assumptions, we establish equality cases in this generalized inequality. We also give relevant applications of our study to a class of quasi-linear elliptic equations and systems. %U http://arxiv.org/abs/0903.3975v7