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Positive solutions of singular elliptic equations outside the unit disk
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Positive solutions of singular elliptic equations outside the unit disk

Electronic journal of differential equations, Vol.2001(53), pp.1-20
01/07/2001

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the existence and the asymptotic behaviour of positive solutions for the nonlinear singular elliptic equation Delta u + phi (. , u) = 0 in the outside of the unit disk in R-2, 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.

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