Título:	A dynamical system approach to a class of radial weighted fully nonlinear equations
Autor(es):	Maia, Liliane de Almeida Nornberg, Gabrielle Pacella, Filomena
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
Data de publicação:	Dez-2020
Editora:	Taylor & Francis
Referência:	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
Versão da editora:	https://www.tandfonline.com/doi/abs/10.1080/03605302.2020.1849281
Aparece nas coleções:	Artigos publicados em periódicos e afins

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