A sign-changing solution for the Schrödinger-Poisson equation

preprint2014arXivOpen access

Abstract

We find a sign-changing solution for a class of Schrödinger-Poisson system in R3\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.

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