- Tytuł:
- Ground states of coupled critical Choquard equations with weighted potentials
- Autorzy:
-
Zhu, Gaili
Duan, Chunping
Zhang, Jianjun
Zhang, Huixing - Powiązania:
- https://bibliotekanauki.pl/articles/2048890.pdf
- Data publikacji:
- 2022
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
ground state
Choquard equations
Hardy-Littlewood-Sobolev inequality
lower critical exponent - Opis:
- In this paper, we are concerned with the following coupled Choquard type system with weighted potentials [formula] where N ≥ 3, μ1, μ2, β > 0 and V1(x), V2(x) are nonnegative functions. Via the variational approach, one positive ground state solution of this system is obtained under some certain assumptions on V1(x), V2(x) and Q(x). Moreover, by using Hardy’s inequality and one Pohozǎev identity, a non-existence result of non-trivial solutions is also considered.
- Źródło:
-
Opuscula Mathematica; 2022, 42, 2; 337-354
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł