JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (8): 48-55,66.doi: 10.6040/j.issn.1671-9352.0.2023.543

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Normalized solutions for a class of fractional critical Choquard equations with perturbation

Yanbin SANG()   

  1. School of Mathematics, North University of China, Taiyuan 030051, Shanxi, China
  • Received:2023-12-25 Online:2024-08-20 Published:2024-07-31

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Abstract:

The normalized solutions for a class of fractional Choquard equations are studied, where Hardy-Littlewood-Sobolev critical exponent and mass supercritical nonlocal term with the parameter are contained in nonlinearites. By analyzing the properties of Pohozaev manifold, the compact condition of Palais-Smale sequences for the energy functional corresponding to above equations is established. When the coefficient of perturbation is large enough, the existence of normalized ground state solutions is obtained.

Key words: Choquard equation, normalized solution, fractional operator, mass supercritical, compact condition

CLC Number: 

  • O175
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