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Universidade de Brasília
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dc.contributor.authorMaia, Liliane de Almeida-
dc.contributor.authorNornberg, Gabrielle-
dc.contributor.authorPacella, Filomena-
dc.date.accessioned2024-11-29T12:07:39Z-
dc.date.available2024-11-29T12:07:39Z-
dc.date.issued2024-08-
dc.identifier.citationMAIA, Liliane; NORNBERG, Gabrielle; PACELLA, Filomena. Classification of radial solutions for fully nonlinear equations with Hardy potential. Discrete and Continuous Dynamical Systems, [S. l. ], v. 44, n. 8, 2232-2251, 2024. DOI: 10.3934/dcds.2024025.pt_BR
dc.identifier.urihttp://repositorio.unb.br/handle/10482/51029-
dc.language.isoengpt_BR
dc.publisherAmerican Institute of Mathematical Sciencespt_BR
dc.rightsAcesso Restritopt_BR
dc.titleClassification of radial solutions for fully nonlinear equations with Hardy potentialpt_BR
dc.typeArtigopt_BR
dc.subject.keywordSoluções radiais positivaspt_BR
dc.subject.keywordEquações não linearespt_BR
dc.identifier.doi10.3934/dcds.2024025pt_BR
dc.description.abstract1We study existence, nonexistence and regularity of positive radial solutions for a class of nonlinear equations driven by Pucci extremal operators, power nonlinearity and Hardy weight. We classify both regular continuous nondifferentiable and singular solutions defined in radial domains, punctured or not. We also obtain critical threshold exponents for the solvability in the exterior of a ball, as well as uniqueness and symmetry in annuli. Our results are based on the behavior of the trajectories described through suitable dynamical systems on the plane, in addition to energy monotonicity and asymptotic analysis.pt_BR
dc.contributor.affiliationUniversidade de Brasíliapt_BR
dc.contributor.affiliationUniversidad de Chilept_BR
dc.contributor.affiliationSapienza Università di Romapt_BR
dc.description.unidadeInstituto de Ciências Exatas (IE)pt_BR
dc.description.unidadeDepartamento de Matemática (IE MAT)pt_BR
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