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Research Article | Open Access

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

Guaiqi Tian1( ), Jun Lei2, Deke Wu3, Lingling Wu1
School of Science, Guizhou University of Engineering Science, Bijie 551700, China
School of Mathematics and Big Data, Guizhou Education University, Guiyang 550025, China
Department of Information Engineering, Guiyang Institute of Information Science and Technology, Guiyang 550025, China
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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.

Keywords

Schrödinger-Poisson systemcritical exponentp-Laplacianvariational methodsinfinitely many solutions

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Electronic Research Archive
Volume 34 Issue 5,
May 2026
Pages 2883-2896
DOI: 10.3934/era.2026131

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Cite this article:
Tian G, Lei J, Wu D, et al. Infinitely many solutions for a quasilinear Kirchhoff -Schrödinger-Poisson system with critical growth. Electronic Research Archive, 2026, 34(5): 2883-2896. https://doi.org/10.3934/era.2026131

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Received: 28 November 2025
Revised: 27 February 2026
Accepted: 02 March 2026
Published: 15 May 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)