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
Show me the PDF file (348 KB), TEX file for this article.
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Lan-Xin Huang Southwest University Chongqing 400715, China email: huang101908@qq.com |
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Xing-Ping Wu School of Mathematics and Statistics Southwest University Chongqing 400715, China email: wuxp@swu.edu.cn |
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Chun-Lei Tang School of Mathematics and Statistics Southwest University Chongqing 400715, China email: tangcl@swu.edu.cn |
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