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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