Electron. J. Differential Equations, Vol. 2021 (2021), No. 01, pp. 1-14.

Multiple positive solutions for nonhomogeneous Schrodinger-Poisson systems with Berestycki-Lions type conditions

Lan-Xin Huang, Xing-Ping Wu, Chun-Lei Tang

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 7, 2021.
Math Subject Classifications: 35A15, 35B09, 35B50, 35D30.
Key Words: Nonhomogeneous Schrodinger-Poisson system; variational methods; multiple positive solutions; Berestycki-Lions type conditions.
DOI: https://doi.org/10.58997/ejde.2021.01

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Lan-Xin Huang School of Mathematics and Statistics
Southwest University
Chongqing 400715, China
email: huang101908@qq.com
Xing-Ping Wu
School of Mathematics and Statistics
Southwest University
Chongqing 400715, China
email: wuxp@swu.edu.cn
Chun-Lei Tang
School of Mathematics and Statistics
Southwest University
Chongqing 400715, China
email: tangcl@swu.edu.cn

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