Revisit to sign-changing solutions for the nonlinear Schrödinger–Poisson system in R3

• DOI: 10.1016/j.jmaa.2015.10.076
• Publication Date: 2015-10-31T01:33:28Z
• Authors: Zhanping Liang; Jing Xu; Xiaoli Zhu
• Keywords: Lemma (botany); Schrödinger's cat; Zero (linguistics)

Abstract In this paper, we investigate the existence of solutions for the nonlinear Schrodinger–Poisson system with zero mass. By introducing some new ideas, we prove, via the constraint variational method and the quantitative deformation lemma, that the system has a sign-changing solution.