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