Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 49, pp. 1-16.

Title: Existence of positive solutions for Dirichlet problems 
       of some singular elliptic equations

Author: Zhiren Jin (Wichita State Univ., Kansas, USA)

Abstract: 
  When an unbounded domain is inside a slab, existence of a positive
  solution is proved for the Dirichlet problem of a class of semilinear
  elliptic equations similar to the singular Emden-Fowler equation.
  The proof is based on a super and sub-solution method.
  A super solution is constructed by Perron's method together with a
  family of auxiliary functions. 
 
Submitted December 11, 2002. Published April 29, 2003.
Math Subject Classifications: 35J25, 35J60, 35J65.
Key Words: Elliptic boundary value problems; positive solutions; 
           singular semilinear equations; unbounded domains;
           Perron's method; super solutions.