Electronic Journal of Differential Equations,  
Vol. 2021 (2021), No. 01, pp. 1-14.

Title: Multiple positive solutions for nonhomogeneous Schrodinger-Poisson systems 
       with Berestycki-Lions type conditions
       
Authors: Lan-Xin Huang (Southwest Univ., Chongqing, China)
         Xing-Ping Wu  (Southwest Univ., Chongqing, China)
         Chun-Lei Tang (Southwest Univ., Chongqing, China)

Abstract:
 In this article, we consider the multiplicity of solutions for
 nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
 With the aid of Ekeland's variational principle, the mountain pass theorem and a
 Pohozaev type identity, we prove that the system has at least two positive solutions.

Submitted April 1, 2020. Published January 07, 2021.
Math Subject Classifications: 35A15, 35B09, 35B50, 35D30.
Key Words: Nonhomogeneous Schrodinger-Poisson system; variational methods;
           multiple positive solutions; Berestycki-Lions type conditions.