Claudianor O. Alves, Paulo C. Carriao, Luiz F. O. Faria
Abstract:
In this article, we use the Galerkin method to show the existence
of solutions for the following elliptic equation with convection term
where
is a bounded domain,
is a parameter,
has sublinear and singular terms, and
is a continuous function.
Submitted June 22, 2009. Published June 18, 2010.
Math Subject Classifications: 35J60, 35B25.
Key Words: Singular elliptic equation; convection term; Galerkin method.
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Claudianor O. Alves Unidade Acadêmica de Matemática e Estatística Universidade Federal de Campina Grande 58109-970, Campina Grande - PB, Brazil email: coalves@dme.ufcg.edu.br | |
Paulo C. Carrião Departamento de Matemática - Instituto de Ciências Exatas Universidade Federal de Minas Gerais 30161-970, Belo Horizonte - MG, Brazil email: carrion@mat.ufmg.br | |
Luiz F. O. Faria Departamento de Matemática - Instituto de Ciências Exatas Universidade Federal de Juiz de Fora 30161-970, Juiz de Fora - MG, Brazil email: luiz.faria@ufjf.edu.br |
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