Szczegóły publikacji
Opis bibliograficzny
Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well / Chao Ji, Vicenţiu D. RĂDULESCU // Journal of Differential Equations ; ISSN 0022-0396. — 2022 — vol. 306, s. 251–279. — Bibliogr. s. 277–279, Abstr. — Publikacja dostępna online od: 2021-10-28. — V. D. Rădulescu - dod. afiliacje: University of Craiova, Craiova, Romania; “Simion Stoilow” Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Autorzy (2)
- Chao Ji
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 137622 |
|---|---|
| Data dodania do BaDAP | 2021-11-19 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2021.10.030 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
In this paper, using variational methods, we study multiplicity of multi-bump solutions for the following nonlinear magnetic Choquard equation [Formula presented] where N≥2, λ>0 is a real parameter, 0<μ<2, i is the imaginary unit, [Formula presented], where [Formula presented] if N≥3, 2⁎=+∞, if N=2. The magnetic potential A∈Lloc2(RN,RN) and V:RN→R is a nonnegative continuous function. We show that if the zero set of V has several isolated connected components Ω1,⋯,Ωk such that the interior of Ωj is non-empty and ∂Ωj is smooth, then for λ>0 large enough, the above equation has at least 2k−1 multi-bump solutions.