Ground state of a magnetic nonlinear Choquard equation.
| dc.contributor.author | Bueno, Hamilton Prado | |
| dc.contributor.author | Mamani, Guido Gutierrez | |
| dc.contributor.author | Pereira, Gilberto de Assis | |
| dc.date.accessioned | 2023-02-03T20:43:44Z | |
| dc.date.available | 2023-02-03T20:43:44Z | |
| dc.date.issued | 2019 | pt_BR |
| dc.description.abstract | We consider the stationary magnetic nonlinear Choquard equation −(∇ + iA(x))2u + V(x)u = (1|x|α ∗ (|u|) ) f(|u|) |u| u, where A : RN → RN is a vector potential, V is a scalar potential, f : R → R and F is the primitive of f . Under mild hypotheses, we prove the existence of a ground state solution for this problem. We also prove a simple multiplicity result by applying Ljusternik–Schnirelmann methods. | pt_BR |
| dc.identifier.citation | BUENO, H.; MAMANI, G. G.; PEREIRA, G. de A. Ground state of a magnetic nonlinear Choquard equation. Nonlinear Analysis-Theory Methods & Applications, v. 181, p. 189-199, 2019. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0362546X18302967>. Acesso em: 06 jul. 2022. | pt_BR |
| dc.identifier.doi | https://doi.org/10.1016/j.na.2018.11.012 | pt_BR |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.uri | http://www.repositorio.ufop.br/jspui/handle/123456789/16102 | |
| dc.identifier.uri2 | https://www.sciencedirect.com/science/article/pii/S0362546X18302967 | pt_BR |
| dc.language.iso | en_US | pt_BR |
| dc.rights | restrito | pt_BR |
| dc.subject | Variational methods | pt_BR |
| dc.subject | Splitting lemma | pt_BR |
| dc.title | Ground state of a magnetic nonlinear Choquard equation. | pt_BR |
| dc.type | Artigo publicado em periodico | pt_BR |
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