Existence of positive solutions for Dirichlet problems of some singular elliptic equations
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Date
2003-04-29
Authors
Jin, Zhiren
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Elliptic boundary value problems, Positive solutions, Singular semilinear equations, Singular semilinear equations, Perron's method, Super solutions
Citation
Jin, Z. (2003). Existence of positive solutions for Dirichlet problems of some singular elliptic equations. <i>Electronic Journal of Differential Equations, 2003</i>(49), pp. 1-16.
Rights
Attribution 4.0 International