%0 Journal Article %T A sign-changing solution for the Schr£¿dinger-Poisson equation %A Claudianor O. Alves %A Marco A. S. Souto %A S¨¦rgio H. M. Soares %J Mathematics %D 2014 %I arXiv %X We find a sign-changing solution for a class of Schr\"odinger-Poisson system in $\mathbb{R}^3$ as an existence result by minimization in a closed subset containing all the sign-changing solutions of the equation. The proof is based on variational methods in association with the deformation lemma and Miranda's theorem. %U http://arxiv.org/abs/1408.3021v1