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dc.contributor.authorAlbuquerque, Francisco Sibério Bezerra-
dc.contributor.authorCarvalho, Jonison Lucas dos Santos-
dc.contributor.authorFigueiredo, Giovany de Jesus Malcher-
dc.contributor.authorMedeiros, Everaldo Souto de-
dc.date.accessioned2022-10-19T20:58:48Z-
dc.date.available2022-10-19T20:58:48Z-
dc.date.issued2021-01-24-
dc.identifier.citationALBUQUERQUE, F. S.; CARVALHO, J. L.; FIGUEIREDO, G. M.; MEDEIROS, E. On a planar non-autonomous Schrödinger–Poisson system involving exponential critical growth. Calculus of Variations and Partial Differential Equations, v. 60, art. 40, 2021. DOI 10.1007/s00526-020-01902-6. Disponível em: https://link.springer.com/article/10.1007/s00526-020-01902-6. Acesso em: 19 out. 2022.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/45047-
dc.language.isoInglêspt_BR
dc.publisherSpringerpt_BR
dc.rightsAcesso Restritopt_BR
dc.titleOn a planar non-autonomous Schrödinger–Poisson system involving exponential critical growthpt_BR
dc.typeArtigopt_BR
dc.subject.keywordSchrödinger, Equação dept_BR
dc.subject.keywordSistema Schrödinger–Poissonpt_BR
dc.identifier.doihttps://doi.org/10.1007/s00526-020-01902-6pt_BR
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00526-020-01902-6pt_BR
dc.description.abstract1In this paper, we investigate the existence of solutions to the planar non-autonomous Schrödinger–Poisson system {−Δu+V(|x|)u+γϕK(|x|)u=λQ(|x|)f(u), &x∈R2,Δϕ=K(|x|)u2, &x∈R2, where γ,λ are positive parameters, V, K, Q are continuous potentials, which can be unbounded or vanishing at infinity. By assuming that the nonlinearity f(s) has exponential critical growth, we derive the existence of a ground state solution to the system. A key feature of our approach is a new weighted Trudinger–Moser type inequality proved here.pt_BR
dc.contributor.emailmailto:fsiberio@cct.uepb.edu.brpt_BR
dc.contributor.emailmailto:jonison.mat@gmail.compt_BR
dc.contributor.emailmailto:giovany@unb.brpt_BR
dc.contributor.emailmailto:everaldo@mat.ufpb.brpt_BR
Appears in Collections:MAT - Artigos publicados em periódicos e preprints

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