Infinitely Many Sign-Changing Solutions for the Nonlinear Schrödinger-Poisson System with Super 2-linear Growth at Infinity

• Shuai Wang ^[1] ; Xing-Ping Wu ^[1] ; Chun-Lei Tang ^[1]
  1. [1] Southwest University

     Southwest University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the sign-changing solutions to the following Schrödinger-Poisson system {−Δu+V(x)u+λϕ(x)u=f(u), −Δϕ=u2, x∈R3, x∈R3, where λ>0 is a parameter and f is super 2-linear at infinity. By using the method of invariant sets of descending flow and a multiple critical points theorem, we prove that this system possesses infinitely many sign-changing solutions for any λ>0 .