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

Shuai Wang, Xing Ping Wu, Chun Lei Tang

• 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 .