Infinitely many solutions for a quasilinear Kirchhoff -Schrödinger-Poisson system with critical growth

Guaiqi Tian; Jun Lei; Deke Wu; Lingling Wu; Guaiqi Tian; Jun Lei; Deke Wu; Lingling Wu

doi:10.3934/era.2026131

Electronic Research Archive

2026, Volume 34, Issue 5: 2883-2896. doi: 10.3934/era.2026131

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Research article

Infinitely many solutions for a quasilinear Kirchhoff -Schrödinger-Poisson system with critical growth

1.
School of Science, Guizhou University of Engineering Science, Bijie 551700, China
2.
School of Mathematics and Big Data, Guizhou Education University, Guiyang 550025, China
3.
Department of Information Engineering, Guiyang Institute of Information Science and Technology, Guiyang 550025, China

Received: 28 November 2025 Revised: 27 February 2026 Accepted: 02 March 2026 Published: 31 March 2026

This paper is concerned with the quasilinear Kirchhoff-Schrödinger-Poisson system with critical growth. By using the Krasnoselskii genus theory and variational methods, we prove the existence of infinitely many solutions for this system.
- Schrödinger-Poisson system,
- critical exponent,
- $ p $-Laplacian,
- variational methods,
- infinitely many solutions
Citation: Guaiqi Tian, Jun Lei, Deke Wu, Lingling Wu. Infinitely many solutions for a quasilinear Kirchhoff -Schrödinger-Poisson system with critical growth[J]. Electronic Research Archive, 2026, 34(5): 2883-2896. doi: 10.3934/era.2026131

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Abstract

This paper is concerned with the quasilinear Kirchhoff-Schrödinger-Poisson system with critical growth. By using the Krasnoselskii genus theory and variational methods, we prove the existence of infinitely many solutions for this system.

References

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