A dynamical system approach to a class of radial weighted fully nonlinear equations

Maia, Liliane de Almeida; Nornberg, Gabrielle; Pacella, Filomena

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Campo DC	Valor	Idioma
dc.contributor.author	Maia, Liliane de Almeida	-
dc.contributor.author	Nornberg, Gabrielle	-
dc.contributor.author	Pacella, Filomena	-
dc.date.accessioned	2021-06-17T13:22:42Z	-
dc.date.available	2021-06-17T13:22:42Z	-
dc.date.issued	2020-12	-
dc.identifier.citation	MAIA, Liliane; NORRNBERG, Gabrielle; PACELLA, Filomena. A dynamical system approach to a class of radial weighted fully nonlinear equations. Communications in Partial Differential Equations, v. 46, n. 4, p. 573-610, 2020. DOI: https://doi.org/10.1080/03605302.2020.1849281.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/41188	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Taylor & Francis	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	A dynamical system approach to a class of radial weighted fully nonlinear equations	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Expoentes críticos	pt_BR
dc.subject.keyword	Sistemas dinâmicos	pt_BR
dc.subject.keyword	Equações diferenciais não-lineares	pt_BR
dc.identifier.doi	https://doi.org/10.1080/03605302.2020.1849281	pt_BR
dc.relation.publisherversion	https://www.tandfonline.com/doi/abs/10.1080/03605302.2020.1849281	-
dc.description.abstract1	In this paper we study existence, nonexistence and classification of radial positive solutions of some weighted fully nonlinear equations involving Pucci extremal operators. Our results are entirely based on the analysis of the dynamics induced by an autonomous quadratic system which is obtained after a suitable transformation. This method allows to treat both regular and singular solutions in a unified way, without using energy arguments. In particular we recover known results on regular solutions for the fully nonlinear non weighted problem by alternative proofs. We also slightly improve the classification of the solutions for the extremal operator M−.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-6163-1899	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-0395-0250	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-1269-6530	pt_BR
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