Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation

In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: having prescribed mass where , and is the Riesz potential given by and is the fractional Hardy-Littlewood-Sobolev critical exponent. Under the -subcritical perturbation with exponent , we obtain the exi...

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Bibliographic Details
Published inAdvances in nonlinear analysis Vol. 12; no. 1; pp. 248 - 283
Main Authors Lan, Jiali, He, Xiaoming, Meng, Yuxi
Format Journal Article
LanguageEnglish
Published De Gruyter 18.11.2023
Subjects
35B65
35J50
35J62
critical exponent
fractional Choquard equation
normalized solutions
variational methods
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Summary:In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: having prescribed mass where , and is the Riesz potential given by and is the fractional Hardy-Littlewood-Sobolev critical exponent. Under the -subcritical perturbation with exponent , we obtain the existence of normalized ground states and mountain-pass-type solutions. Meanwhile, for the -critical and -supercritical cases , we also prove that the equation has ground states of mountain-pass-type.
ISSN:2191-950X
2191-950X
DOI:10.1515/anona-2023-0112