Non-trivial solutions for the fractional Schrödinger–Poisson system with p-Laplacian

Article type: Research Article

Authors: Liu, Chungen | Zhong, Yuyou | Zuo, Jiabin^{; *}

Affiliations: School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, P. R. China

Correspondence: [*] Corresponding author. E-mail: zuojiabin88@163.com.

Abstract: In this paper, we study a fractional Schrödinger–Poisson system with p-Laplacian. By using some scaling transformation and cut-off technique, the boundedness of the Palais–Smale sequences at the mountain pass level is gotten. As a result, the existence of non-trivial solutions for the system is obtained.

Keywords: Fractional Schrödinger–Poisson system, p-Laplacian, mountain pass lemma

DOI: 10.3233/ASY-241903

Journal: Asymptotic Analysis, vol. 139, no. 3-4, pp. 139-155, 2024