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

<p>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\to 0^{+} $ and $ c\to +\infty $.</p>

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025023
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

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

Min Shu, Haibo Chen, Jie Yang
AIMS Mathematics
Nonlinear Partial Differential Equations
article

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

Min Shu, Haibo Chen, Jie Yang
article en

Abstract

<p>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\to 0^{+} $ and $ c\to +\infty $.</p>

AIMS MathematicsVol. 10(1)
Huaihua University (CN), Central South University (CN)
Openalex Percentile: Top 99%
Nonlinear Partial Differential Equations
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