Positive and sign-changing stationary solutions of degenerate logistic type equations

Cardoso, Maristela Barbosa; Furtado, Flávia Elisandra Magalhães; Maia, Liliane de Almeida

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Campo DC	Valor	Idioma
dc.contributor.author	Cardoso, Maristela Barbosa	-
dc.contributor.author	Furtado, Flávia Elisandra Magalhães	-
dc.contributor.author	Maia, Liliane de Almeida	-
dc.date.accessioned	2024-11-29T11:48:13Z	-
dc.date.available	2024-11-29T11:48:13Z	-
dc.date.issued	2024	-
dc.identifier.citation	CARDOSO, Maristela; FURTADO, Flávia; MAIA, Liliane. Positive and sign-changing stationary solutions of degenerate logistic type equations. Nonlinear Analysis, v. 245, 113579, ago. 2024. DOI: https://doi.org/10.1016/j.na.2024.11357.	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/51028	-
dc.language.iso	eng	pt_BR
dc.publisher	Elsevier Ltd.	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Positive and sign-changing stationary solutions of degenerate logistic type equations	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equação logística	pt_BR
dc.subject.keyword	Variedade de Nehari	pt_BR
dc.subject.keyword	Teoremas do passo da montanha	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.na.2024.11357	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0362546X24000944?via%3Dihub	pt_BR
dc.description.abstract1	In this work we study the existence and uniqueness of a positive, as well as a sign-changing steady-state solution of the degenerate logistic equation with a non-homogeneous superlinear term. Our outcome on a solution that changes sign, defined in higher dimensions, contribute to the existing literature of a few results for the problem, mostly developed in one dimension. We apply variational techniques, in particular the problem constrained to the Nehari manifold, and investigate how it changes as the parameter in the equation or the function vary, affecting the existence and non-existence of solutions of the elliptic problem.	pt_BR
dc.identifier.orcid	https://orcid.org/0009-0000-0181-4987	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-6163-1899	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
dc.description.ppg	Programa de Pós-Graduação em Matemática	pt_BR
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