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Research Article | Open Access

Existence and multiplicity of solutions to p-Kirchhoff-Choquard-type equations

Bing Long, Yulin Zhao( )
School of Science, Hunan University of Technology, Zhuzhou 412007, Hunan, China
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Abstract

In this paper, we investigate the existence and multiplicity of solutions for a p-Kirchhoff-Choquard-type equation involving a critical exponent. First, we employ the concentration-compactness principle to overcome the lack of compactness arising from the critical exponent. Then, under appropriate assumptions, we obtain the existence of solutions by applying the mountain pass theorem, the symmetric mountain pass theorem, the dual fountain theorem, and various necessary analytical techniques.

Keywords

Kirchhoff-Choquard equationcritical exponentmountain pass theoremsymmetric mountain pass theoremdual fountain theorem
CLC number: 31A30, 35J60, 35J75

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AIMS Mathematics
Volume 11 Issue 6,
June 2026
Pages 17144-17165
DOI: 10.3934/math.2026703

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Cite this article:
Long B, Zhao Y. Existence and multiplicity of solutions to p-Kirchhoff-Choquard-type equations. AIMS Mathematics, 2026, 11(6): 17144-17165. https://doi.org/10.3934/math.2026703

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Received: 10 December 2025
Revised: 07 February 2026
Accepted: 25 February 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

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