What does this research mean for the field?

Positive radial normalized solutions, along with positive corresponding Lagrange multipliers, exist for the fractional Kirchhoff system with Hardy critical nonlinearities under the L2-supercritical case. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to establish the existence of normalized solutions for a fractional Kirchhoff system involving Hardy critical nonlinearities.

May 17, 2026AxiomsOpen Access

Normalized Solution for the Fractional Kirchhoff System with Hardy Nonlinearities

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The aim is to establish the existence of normalized solutions for a fractional Kirchhoff system involving Hardy critical nonlinearities.
Employed the minimax theorem for solution existence.
Analyzed the Palais–Smale sequence to establish convergence.
Restricted the consideration to radial functions.
Proved the existence of positive radial normalized solutions under L2-supercritical conditions.
Confirmed the positivity of the associated Lagrange multipliers.

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Implication

Demonstrates the existence of normalized solutions in a fractional Kirchhoff system, indicating new insights into critical nonlinearities.

Cite This Study

Wang et al. (2026) studied this question.

synapsesocial.com/papers/6a095bba7880e6d24efe191c https://doi.org/10.3390/axioms15050369

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Implication

Demonstrates the existence of normalized solutions in a fractional Kirchhoff system, indicating new insights into critical nonlinearities.

Normalized Solution for the Fractional Kirchhoff System with Hardy Nonlinearities

Key Points

Discussion

Implication

Cite This Study

Normalized Solution for the Fractional Kirchhoff System with Hardy Nonlinearities

Key Points

Discussion

Implication

Cite This Study

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