Study of a nonlinear Kirchhoff equation with non-homogeneous material

In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence and uniqueness of positive solution. The main novelty is the inclusion of non-homogeneous term making the problem without a variational structure. We use mainly bifurcation arg...

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Detalhes bibliográficos
Autores: Malcher Figueiredo, Giovany de Jesus, Morales Rodrigo, Cristian, Rodrigues dos Santos Júnior, Joao, Suárez Fernández, Antonio
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2014
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/40190
Acesso em linha:http://hdl.handle.net/11441/40190
https://doi.org/10.1016/j.jmaa.2014.02.067
Access Level:acceso abierto
Palavra-chave:Kirchhoff equation
non-homogeneous material
bifurcation methods
Descrição
Resumo:In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence and uniqueness of positive solution. The main novelty is the inclusion of non-homogeneous term making the problem without a variational structure. We use mainly bifurcation arguments to get the results.