Ground states for fractional Choquard equations with doubly critical exponents and magnetic fields
Izvestiya. Mathematics , Tome 88 (2024) no. 1, pp. 43-53

Voir la notice de l'article provenant de la source Math-Net.Ru

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: magnetic fields, doubly critical exponents, Nehari method, Pokhozhaev identity.
Mots-clés : fractional Choquard equation
@article{IM2_2024_88_1_a2,
     author = {Zhenyu Guo and Lujuan Zhao},
     title = {Ground states for fractional {Choquard} equations with doubly critical exponents and magnetic fields},
     journal = {Izvestiya. Mathematics },
     pages = {43--53},
     publisher = {mathdoc},
     volume = {88},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2024_88_1_a2/}
}
TY  - JOUR
AU  - Zhenyu Guo
AU  - Lujuan Zhao
TI  - Ground states for fractional Choquard equations with doubly critical exponents and magnetic fields
JO  - Izvestiya. Mathematics 
PY  - 2024
SP  - 43
EP  - 53
VL  - 88
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2024_88_1_a2/
LA  - en
ID  - IM2_2024_88_1_a2
ER  - 
%0 Journal Article
%A Zhenyu Guo
%A Lujuan Zhao
%T Ground states for fractional Choquard equations with doubly critical exponents and magnetic fields
%J Izvestiya. Mathematics 
%D 2024
%P 43-53
%V 88
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2024_88_1_a2/
%G en
%F IM2_2024_88_1_a2
Zhenyu Guo; Lujuan Zhao. Ground states for fractional Choquard equations with doubly critical exponents and magnetic fields. Izvestiya. Mathematics , Tome 88 (2024) no. 1, pp. 43-53. http://geodesic.mathdoc.fr/item/IM2_2024_88_1_a2/