Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 75, pp. 1-16.

Title: Normalized solutions of fractional Kirchhoff equations in the defocusing case

Authors: Zhenyu Guo (Liaoning Normal Univ., Dalian, China)
         Tianqing Zhang (Shenyang Railway No. 5 Primary School, China)

Abstract:
In this article, we focus on the normalized solutions to the fractional 
Kirchhoff equations with subcritical nonlinearities in the defocusing 
case. By applying distinct suppositions to the coefficients of 
nonlinearities, namely $q <p$, we prove the existence and nonexistence 
of normalized solutions. Also we obtain new results on the 
characterization of ground states of the fractional Kirchhoff equations.

Submitted October 2, 2024. Published July 16, 2025.
Math Subject Classifications: 35A01, 35R11.
Key Words: Fractional Kirchhoff equations; defocusing case; subritical nonlinear terms;  normalized solutions