Li Anran and Wang Peiting and Wei Chongqing: Ground state solutions for nonlinearly coupled systems of Choquard type with lower critical exponent. (2020)
Preview |
Teljes mű
ejqtde_2020_056.pdf Download (462kB) | Preview |
Abstract
In this paper, we study the existence of ground state solutions for the following nonlinearly coupled systems of Choquard type with lower critical exponent by variational methods −∆u + V(x)u = (Iα ∗ |u| N +1 )|u| N −1u + p|u| p−2u|υ| q , in RN, −∆υ + V(x)υ = (Iα ∗ |υ| N +1 N −1 υ + q|υ| q−2 υ|u| p , in RN. Where N ≥ 3, α ∈ (0, N), Iα is the Riesz potential, p, q ∈ 1, q N N−2 and N p + (N + 2)q < 2N + 4, N+α N is the lower critical exponent in the sense of Hardy– Littlewood–Sobolev inequality and V ∈ C(RN,(0, ∞)) is a bounded potential function. As far as we have known, little research has been done on this type of coupled systems up to now. Our research is a promotion and supplement to previous research.
Item Type: | Journal |
---|---|
Publication full: | Electronic journal of qualitative theory of differential equations |
Date: | 2020 |
Number: | 56 |
ISSN: | 1417-3875 |
DOI: | 10.14232/ejqtde.2020.1.56 |
Uncontrolled Keywords: | Choquard típusú egyenlet |
Additional Information: | Bibliogr.: p. 17-18. ; összefoglalás angol nyelven |
Date Deposited: | 2020. Nov. 30. 13:53 |
Last Modified: | 2021. Oct. 20. 13:52 |
URI: | http://acta.bibl.u-szeged.hu/id/eprint/70940 |
Actions (login required)
![]() |
View Item |