Titre:	A dynamical system approach to a class of radial weighted fully nonlinear equations
Auteur(s):	Maia, Liliane de Almeida Nornberg, Gabrielle Pacella, Filomena
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-6163-1899 https://orcid.org/0000-0002-0395-0250 https://orcid.org/0000-0002-1269-6530
Assunto::	Expoentes críticos Sistemas dinâmicos Equações diferenciais não-lineares
Date de publication:	déc-2020
Editeur:	Taylor & Francis
Référence bibliographique:	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.
Abstract:	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−.
DOI:	https://doi.org/10.1080/03605302.2020.1849281
metadata.dc.relation.publisherversion:	https://www.tandfonline.com/doi/abs/10.1080/03605302.2020.1849281
Collection(s) :	Artigos publicados em periódicos e afins

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