School of Mathematics
Liaoning Normal University
Dalian 116029, China
email: guozy@163.com
Shenyang Railway No. 5 Primary School
Shenyang 110001, China
email: tqingzhang@163.com
Zhenyu Guo, Tianqing Zhang
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
DOI: 10.58997/ejde.2025.75
Show me the PDF file (394 KB), TEX file for this article.
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Zhenyu Guo School of Mathematics Liaoning Normal University Dalian 116029, China email: guozy@163.com |
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Tianqing Zhang Shenyang Railway No. 5 Primary School Shenyang 110001, China email: tqingzhang@163.com |
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