Electron. J. Differential Equations, Vol. 2025 (2025), No. 114, pp. 1-14.

Normalized ground state solutions for Kirchhoff equation with subcritical or critical perturbation

Zian Fan

Abstract:
This article concerns the Kirchhoff equation with subcritical or critical perturbation. We establish the existence of normalized ground state solutions by using Pohozaev manifold and subcritical approximation methods.

Submitted June 4, 2025. Published December 9, 2025
Math Subject Classifications: 35J15, 35J20, 35J60, 35B33.
Key Words: Normalized solutions; Kirchhoff equation; critical growth; Pohozaev manifold.
DOI: 10.58997/ejde.2025.114

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Zian Fan
School of Mathematics and Statistics
Hubei Engineering University
Xiaogan, Hubei 432000, China
email: fza2016@163.com

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