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

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&...

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Bibliographic Details
Main Author: Zhiren Jin
Format: Article
Language:English
Published: Texas State University 2003-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/49/abstr.html