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Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/34971
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dc.contributor.advisor1Hamilton Prado Buenopt_BR
dc.contributor.advisor1Latteshttp://lattes.cnpq.br/0867903003222790pt_BR
dc.contributor.advisor-co1Gilberto de Assis Pereirapt_BR
dc.contributor.referee1Aldo Henrique de Souza Medeirospt_BR
dc.contributor.referee2Fábio Rodrigues Pereirapt_BR
dc.creatorGuido Gutierrez Mamanipt_BR
dc.creator.Latteshttp://lattes.cnpq.br/3828899577351511pt_BR
dc.date.accessioned2021-02-09T19:03:04Z-
dc.date.issued2020-11-03-
dc.identifier.urihttp://hdl.handle.net/1843/34971-
dc.description.resumoIn the first part of this work, we consider the asymptotically linear, strongly coupled nonlinear system 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 C^(0,μ) ( R N ) for some 0 < μ < 1 and each N > 1. In the final part of the work, we consider the stationary magnetic nonlinear Choquard equation −(∇ + iA ( x ))^(1/2) u + V ( x ) u =(1/|x|^(\alpha)∗ F (| u |))f (| u |) u/|u|. where A : R N → R N 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.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superiorpt_BR
dc.languageengpt_BR
dc.publisherUniversidade Federal de Minas Geraispt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentICEX - INSTITUTO DE CIÊNCIAS EXATASpt_BR
dc.publisher.programPrograma de Pós-Graduação em Matemáticapt_BR
dc.publisher.initialsUFMGpt_BR
dc.rightsAcesso Restritopt_BR
dc.subjectPohozaev Identitypt_BR
dc.subjectFractional laplacianpt_BR
dc.subjectChoquard equationpt_BR
dc.subjectSplitting lemmapt_BR
dc.subject.otherMatemática – Tesespt_BR
dc.subject.otherEquações diferenciais parciais – Tesespt_BR
dc.subject.otherPrincípios variacionais – Tesespt_BR
dc.titleSome results on a pseudo-relativistic Hartree equation and on a magnetic Choquard equationpt_BR
dc.typeTesept_BR
dc.description.embargo2021-11-03-
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