Ground states solutions for some non-autonomous Schrödinger-Bopp-Podolsky system

Jia Chunrong and Li Lin and Chen Shangjie: Ground states solutions for some non-autonomous Schrödinger-Bopp-Podolsky system. (2022)

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Abstract

In this paper we study the existence of ground states solutions for nonautonomous Schrödinger–Bopp–Podolsky system −∆u + u + λK(x)ϕu = b(x)|u| p−2u in R3 −∆ϕ + a 2∆ 2ϕ = 4πK(x)u 2 in R3 where λ > 0, 2 < p ≤ 4 and both K(x) and b(x) are nonnegative functions in R3 Assuming that lim|x|→+∞K(x) = K∞ > 0 and lim|x|→+∞b(x) = b∞ > 0 and satisfying suitable assumptions, but not requiring any symmetry property on them. We show that the existence of a positive solution depends on the parameters λ and p. We also establish the existence of ground state solutions for the case 3.18 ≈ 1+ 73 3 < p ≤ 4.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 51
ISSN: 1417-3875
Language: English
DOI: 10.14232/ejqtde.2022.1.51
Uncontrolled Keywords: Schrödinger-Bopp-Podolsky rendszer
Additional Information: Bibliogr.: p. 27-29. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2023. Mar. 13. 10:50
Last Modified: 2023. Mar. 13. 10:50
URI: http://acta.bibl.u-szeged.hu/id/eprint/78336

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