Positive Solutions of Singular Elliptic Equations Outside the Unit Disk

Date

2001-07-24

Authors

Zeddini, Noureddine

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We 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.

Description

Keywords

Singular elliptic equation, Green function, Schauder fixed point theorem, Maximum principle, Superharmonic function

Citation

Zeddini, N. (2001). Positive solutions of singular elliptic equations outside the unit disk. <i>Electronic Journal of Differential Equations, 2001</i>(53), pp. 1-20.

Rights

Attribution 4.0 International

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