This article is cited in 1 paper

Ground states for fractional Choquard equations with doubly critical exponents and magnetic fields

Zhenyu Guo^a, Lujuan Zhao<sup>b

a</sup> School of Mathematics, Liaoning Normal University, Dalian, China
^b Ordos Second School Attached To Beijing Normal University, Ordos, Inner Mongolia, China

Abstract: In this paper, we investigate the ground states for the fractional Choquard equations with doubly critical exponents and magnetic fields. We prove that the equation has a ground state solution by using the Nehari method and the Pokhozhaev identity.

Keywords: fractional Choquard equation, magnetic fields, doubly critical exponents, Nehari method, Pokhozhaev identity.

UDC: 517.95

MSC: 35L40, 76N10

Received: 21.04.2022
Revised: 26.02.2023

Language: English

DOI: 10.4213/im9361

 English version: Izvestiya: Mathematics, 2024, 88:1, 43–53

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