Existence of solutions for a class of singular elliptic systems with convection term

Article type: Research Article

Authors: Alves, Claudianor O.^; | Moussaoui, Abdelkrim

Affiliations: Unidade Acadêmica de Matemática e Estatística, Universidade Federal de Campina Grande, 58429-900, Campina Grande, PB, Brazil. E-mail: coalves@dme.ufcg.edu.br | Biology Department, A. Mira Bejaia University, Targa Ouzemour, 06000 Bejaia, Algeria. E-mail: remdz@yahoo.fr

Note: [] Corresponding author. E-mail: coalves@dme.ufcg.edu.br

Abstract: We show the existence of positive solutions for a class of singular elliptic systems with convection term. The approach combines sub- and supersolution method with the pseudomonotone operator theory and perturbation arguments involving singular terms.

Keywords: pseudomonotone operator, elliptic singular equation, nonlinear equations

DOI: 10.3233/ASY-141245

Journal: Asymptotic Analysis, vol. 90, no. 3-4, pp. 237-248, 2014