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Research Article | Open Access

The existence and multiplicity of solutions of Kirchhoff type linearly coupled systems with critical exponents

Xiaofan Wu, Xueliang Duan( ), Qingquan Yang
School of Mathematics and Statistics, Zhengzhou Normal University, Zhengzhou, Henan 450044, China
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Abstract

We consider the critical problems of Kirchhoff type linearly coupled systems. In applying variational methods, we establish both the existence and multiplicity of solutions in the four-dimensional case.

Keywords

Kirchhoff equationlinearly coupled systemSobolev critical exponentvariational method
CLC number: 35J20, 35J60

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AIMS Mathematics
Volume 11 Issue 1,
January 2026
Pages 907-914
DOI: 10.3934/math.2026039

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Cite this article:
Wu X, Duan X, Yang Q. The existence and multiplicity of solutions of Kirchhoff type linearly coupled systems with critical exponents. AIMS Mathematics, 2026, 11(1): 907-914. https://doi.org/10.3934/math.2026039

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Received: 01 December 2025
Revised: 04 January 2026
Accepted: 08 January 2026
Published: 13 January 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)