Ground state solutions for nonlinearly coupled systems of Choquard type with lower critical exponent

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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