Zeddini, Noureddine Positive solutions of singular elliptic equations outside the unit disk. (English) Zbl 0985.34015 Electron. J. Differ. Equ. 2001, Paper No. 53, 20 p. (2001). The author deals with existence and asymptotic behaviour of positive solutions to a semilinear elliptic equation \(\Delta u+\varphi(x,u)=0\) outside the unit disc in \(\mathbb{R}^2\) with a homogeneous Dirichlet boundary condition. Reviewer: Dian K.Palagachev (Bari) Cited in 3 Documents MSC: 34B16 Singular nonlinear boundary value problems for ordinary differential equations 35J65 Nonlinear boundary value problems for linear elliptic equations 34B27 Green’s functions for ordinary differential equations Keywords:semilinear elliptic equation; Green function; maximum principle PDFBibTeX XMLCite \textit{N. Zeddini}, Electron. J. Differ. Equ. 2001, Paper No. 53, 20 p. (2001; Zbl 0985.34015) Full Text: EuDML EMIS