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May 17, 2026Mathematical Methods in the Applied Sciences0 citations

Normalized Solutions for Fractional Kirchhoff–Choquard Equations

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ZGZhenyu GuoTGTongtong Guo

Key Points

  • This research aims to establish the existence of solutions for fractional Kirchhoff–Choquard equations with fixed mass constraints.
  • Analyzed the problem using the Pohozaev manifold.
  • Applied the compactness lemma of the Palais–Smale sequence.
  • Utilized the Ekeland variational principle and variable substitution.
  • Demonstrated the existence of solutions for the fractional Kirchhoff–Choquard equations.
  • Analyzed the asymptotic behavior of the solutions.
  • Transformed low-order fractional Kirchhoff equations into an equivalent system.

Abstract

ABSTRACT In this paper, we study a class of fractional Kirchhoff‐Choquard equations with fixed mass constraints in . Based on the Pohozaev manifold, by establishing the compactness lemma of the Palais–Smale sequence and using Ekeland variational principle, the existence of solutions is obtained and their asymptotic behavior is analyzed for . Through variable substitution, the low‐order fractional Kirchhoff equation is transformed into an equivalent system. Combining fractional inequalities and variational methods, the existence of solutions is obtained for .

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Cite This Study

Guo et al. (2026) studied this question.

synapsesocial.com/papers/6a095b1b7880e6d24efe0e4fhttps://doi.org/10.1002/mma.70798
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