Zeddini, Noureddine2020-06-302020-06-302001-07-24Zeddini, N. (2001). Positive solutions of singular elliptic equations outside the unit disk. <i>Electronic Journal of Differential Equations, 2001</i>(53), pp. 1-20.1072-6691https://hdl.handle.net/10877/11924We study the existence and the asymptotic behaviour of positive solutions for the nonlinear singular elliptical equation Δu + φ (., u) = 0 in the outside of the unit disk in ℝ2, with homogeneous Dirichlet boundary condition. The aim is to prove some existence results for the above equation in a general setting by using a potential theory approach.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalSingular elliptic equationGreen functionSchauder fixed point theoremMaximum principleSuperharmonic functionArticle