Li Anran and Wang Peiting and Wei Chongqing: Ground state solutions for nonlinearly coupled systems of Choquard type with lower critical exponent. (2020)
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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 |
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