Szczegóły publikacji
Opis bibliograficzny
Multi-bump solutions for the magnetic Schrödinger–Poisson system with critical growth / Chao Ji, Yongde Zhang, Vicenţiu D. RĂDULESCU // Electronic Journal of Qualitative Theory of Differential Equations [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1417-3875. — 2022 — no. 21, s. 1-30. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. 26-30, Abstr. — V. D. Rădulescu - dod. afiliacja: University of Craiova, Romania ; China–Romania Research Centre in Applied Mathematics
Autorzy (3)
- Ji Chao
- Zhang Yongde
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 145003 |
|---|---|
| Data dodania do BaDAP | 2023-01-30 |
| Tekst źródłowy | URL |
| DOI | 10.14232/ejqtde.2022.1.21 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Electronic Journal of Qualitative Theory of Differential Equations |
Abstract
In this paper, we are concerned with the following magnetic Schrödinger–Poisson system {−(∇+iA(x))2u+(λV(x)+1)u+ϕu=αf(|u|2)u+|u|4u,−Δϕ=u2, in R3, in R3, where λ>0 is a parameter, f is a subcritical nonlinearity, the potential V:R3→R is a continuous function verifying some conditions, the magnetic potential A∈L2loc(R3,R3). Assuming that the zero set of V(x) has several isolated connected components Ω1,…,Ωk such that the interior of Ωj is non-empty and ∂Ωj is smooth, where j∈{1,…,k}, then for λ>0 large enough, we use the variational methods to show that the above system has at least 2k−1 multi-bump solutions.