Ground state of a magnetic nonlinear Choquard equation.

dc.contributor.authorBueno, Hamilton Prado
dc.contributor.authorMamani, Guido Gutierrez
dc.contributor.authorPereira, Gilberto de Assis
dc.date.accessioned2023-02-03T20:43:44Z
dc.date.available2023-02-03T20:43:44Z
dc.date.issued2019pt_BR
dc.description.abstractWe 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.citationBUENO, 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.doihttps://doi.org/10.1016/j.na.2018.11.012pt_BR
dc.identifier.issn0362-546X
dc.identifier.urihttp://www.repositorio.ufop.br/jspui/handle/123456789/16102
dc.identifier.uri2https://www.sciencedirect.com/science/article/pii/S0362546X18302967pt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.subjectVariational methodspt_BR
dc.subjectSplitting lemmapt_BR
dc.titleGround state of a magnetic nonlinear Choquard equation.pt_BR
dc.typeArtigo publicado em periodicopt_BR
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