Ground state sign-changing solutions for a class of nonlinear fractional Schr?dinger–Poisson system with potential vanishing at infinity

摘要

In this paper,we study the following nonlinear fractional Schr?dinger–Poisson system where s ∈ ( 3/4 , 1) , t ∈ (0, 1), V, K : ?~3 → ? are continuous functions and vanishing at infinity. As for the function f , we only assume f ∈ C(?,?) and some growth conditions. By using Nehari manifold and constraint variational method, we obtain a ground state sign-changing solution to this problem.