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dc.contributor.authorBueno, Hamilton Prado-
dc.contributor.authorMamani, Guido Gutierrez-
dc.contributor.authorMedeiros, Aldo Henrique de Souza-
dc.contributor.authorPereira, Gilberto de Assis-
dc.date.accessioned2023-08-18T19:42:02Z-
dc.date.available2023-08-18T19:42:02Z-
dc.date.issued2022pt_BR
dc.identifier.citationBUENO, H. P. et al. Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system: ground state, radial symmetry and Hölder regularity. Nonlinear Analysis, v. 221, artigo 112916, abr. 2022. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0362546X22000839>. Acesso em: 06 jul. 2023.pt_BR
dc.identifier.issn0362-546X-
dc.identifier.urihttp://www.repositorio.ufop.br/jspui/handle/123456789/17267-
dc.description.abstractIn this paper we consider the asymptotically linear, strongly coupled nonlinear system ⎧ ⎪⎨ ⎪⎩ √ −∆ + m2 u = u 2 + v 2 1 + s(u2 + v 2) u + λv, √ −∆ + m2 v = u 2 + v 2 1 + s(u2 + v 2) v + λu, where m > 0, 0 < λ < m and 0 < s < 1/(λ + m) are constants. By applying the Nehari–Pohozaev manifold, we prove that our system has a ground state solution. We also prove that solutions of this system are radially symmetric and belong to C0,μ(RN ) for some 0 < μ < 1 and each N > 1.pt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.subjectPseudo-relativistic Schrödinger operatorpt_BR
dc.subjectAsymptotic linear systempt_BR
dc.subjectNehari–Pohozaev manifoldpt_BR
dc.titleResults on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system : ground state, radial symmetry and Hölder regularity.pt_BR
dc.typeArtigo publicado em periodicopt_BR
dc.identifier.uri2https://www.sciencedirect.com/science/article/pii/S0362546X22000839pt_BR
dc.identifier.doihttps://doi.org/10.1016/j.na.2022.112916pt_BR
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