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Research Article | Open Access

Existence and asymptotic behavior of normalized solutions for the mass supercritical fractional Kirchhoff equations with general nonlinearities

Min Shu1, Haibo Chen2, Jie Yang1( )
School of Mathematics and Computational Science, Huaihua University, Huaihua, Hunan 418008, China
School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China
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Abstract

In this paper, we studied a fractional Kirchhoff equation with mass supercritical general nonlinearities. Under some suitable conditions, we obtained the existence of ground state normalized solutions for this equation. Moreover, we presented the asymptotic behavior of normalized solutions to the above equation as c → 0 + and c → + ∞.

Keywords

Kirchhoff equationfractionalnormalized solutionasymptotic behavior
CLC number: 35A15, 35J20

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AIMS Mathematics
Volume 10 Issue 1,
January 2025
Pages 499-533
DOI: 10.3934/math.2025023

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Cite this article:
Shu M, Chen H, Yang J. Existence and asymptotic behavior of normalized solutions for the mass supercritical fractional Kirchhoff equations with general nonlinearities. AIMS Mathematics, 2025, 10(1): 499-533. https://doi.org/10.3934/math.2025023

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Received: 25 October 2024
Revised: 31 December 2024
Accepted: 03 January 2025
Published: 15 January 2025
©2025 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)