Existence of ground state sign-changing solutions for a class of generalized quasilinear Schrödinger-Maxwell system in ℝ3

@article{Chen2017ExistenceOG,
  title={Existence of ground state sign-changing solutions for a class of generalized quasilinear Schr{\"o}dinger-Maxwell system in ℝ3},
  author={Jianhua Chen and Xianhua Tang and Bitao Cheng},
  journal={Computers & Mathematics with Applications},
  year={2017},
  volume={74},
  pages={466-481}
}
we obtain one ground state sign-changing solution vμ = G(uμ) by using some new analytical skills and non-Nehari manifold method. Furthermore, the energy of vμ = G(uμ) is strictly larger than twice that of the ground state solutions of Nehari-type. We also establish the convergence property of vμ = G(uμ) as the parameter μ ↘ 0. Our results improve and generalize some results obtained by Chen and Tang (2016), Zhu et al. (2016). © 2017 Elsevier Ltd. All rights reserved.