Titre:	Positive and sign-changing stationary solutions of degenerate logistic type equations
Auteur(s):	Cardoso, Maristela Barbosa Furtado, Flávia Elisandra Magalhães Maia, Liliane de Almeida
metadata.dc.identifier.orcid:	https://orcid.org/0009-0000-0181-4987 https://orcid.org/0000-0002-6163-1899
metadata.dc.contributor.affiliation:	Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática
Assunto::	Equação logística Variedade de Nehari Teoremas do passo da montanha
Date de publication:	2024
Editeur:	Elsevier Ltd.
Référence bibliographique:	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.
Abstract:	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.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
metadata.dc.description.ppg:	Programa de Pós-Graduação em Matemática
DOI:	https://doi.org/10.1016/j.na.2024.11357
metadata.dc.relation.publisherversion:	https://www.sciencedirect.com/science/article/pii/S0362546X24000944?via%3Dihub
Collection(s) :	Artigos publicados em periódicos e afins

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