Electron. J. Differential Equations, Vol. 2021 (2021), No. 07, pp. 1-21.

Ground state and multiple solutions for critical fractional Schrodinger-Poisson equations with perturbation terms

Lintao Liu, Kaimin Teng

Abstract:
In this article, we study a class of critical fractional Schrodinger-Poisson system with two perturbation terms. By using variational methods and Lusternik-Schnirelman category theory, the existence of ground state and two nontrivial solutions are established.

Submitted April 10, 2020. Published February 1, 2021.
Math Subject Classifications: 35R11, 35B38.
Key Words: Fractional Schrodinger-Poisson system; variational methods; critical growth; Lusternik-Schnirelman category.
DOI: https://doi.org/10.58997/ejde.2021.07

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Lintao Liu
Department of Mathematics
Taiyuan University of Technology
Taiyuan, Shanxi 030024, China
email: 956484600@qq.com
Kaimin Teng
Department of Mathematics
Taiyuan University of Technology
Taiyuan, Shanxi 030024, China
email: tengkaimin2013@163.com

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