Positive solutions for elliptic equations with singular nonlinearity

We study an elliptic boundary-value problem with singular nonlinearity via the method of monotone iteration scheme: $$displaylines{ -Delta u(x)=f(x,u(x)),quad x in Omega,cr u(x)=phi(x),quad x in partial Omega , }$$ where $Delta$ is the Laplacian operator, $Omega$ is a bounded domain in $mathbb{R}^...

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Bibliographic Details
Main Authors: Junping Shi, Miaoxin Yao
Format: Article
Language:English
Published: Texas State University 2005-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/04/abstr.thml