Nonnegative solutions for the degenerate logistic indefinite sublinear equation

The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear problem. We combine bifurcation method and linking local subsupersolution technique to show the existence and multiplicity of nonnegative solutions. We employ a change of variab...

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Detalhes bibliográficos
Autores: Delgado Delgado, Manuel, Suárez Fernández, Antonio
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2003
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/40199
Acesso em linha:http://hdl.handle.net/11441/40199
https://doi.org/10.1016/S0362-546X(02)00100-1
Access Level:acceso abierto
Palavra-chave:Degenerate logistic indefinite equation
Singular eigenvalue problems
Indefinite sublinear problems
Multiplicity results
Descrição
Resumo:The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear problem. We combine bifurcation method and linking local subsupersolution technique to show the existence and multiplicity of nonnegative solutions. We employ a change of variable already used in a different context and the spectral singular theory to prove uniqueness results.