Existence of infinitely many solutions to a class of Kirchhoff-Schrödinger-Poisson system

@article{Zhao2015ExistenceOI,
  title={Existence of infinitely many solutions to a class of Kirchhoff-Schr{\"o}dinger-Poisson system},
  author={Guilan Zhao and Xiaoli Zhu and Yuhua Li},
  journal={Applied Mathematics and Computation},
  year={2015},
  volume={256},
  pages={572-581}
}
In this paper, we consider the existence of infinitely many solutions to following nonlinear Kirchhoff-Schrodinger-Poisson system a + b ? R 3 | ? u | 2 + V ( x ) u 2 - Δ u + V ( x ) u + λ l ( x ) ? u = f ( x , u ) , x ? R 3 , - Δ ? = λ l ( x ) u 2 , x ? R 3 , where constants a 0 , b ? 0 and λ ? 0 . When f has sublinear growth in u, we obtain infinitely many solutions under certain assumption that V do not have a positive lower bound. The technique we use in this paper is the symmetric mountain… CONTINUE READING

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