We study the existence and the asymptotic behaviour of positive solutions for the nonlinear singular elliptic equation
in the outside of the unit disk in , 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.
Submitted February 13, 2001. Published July 24, 2001.
Math Subject Classifications: 34B16, 34B27, 35J65.
Key Words: Singular elliptic equation, Green function, Schauder fixed point theorem, maximum principle, superharmonic function.
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|Noureddine Zeddini |
Departement de Mathematiques
Faculte des Sciences de Tunis
Campus Universitaire, 1060 Tunis, Tunisia
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