EXISTENCE OF POSITIVE SOLUTIONS FOR DIRICHLET PROBLEMS OF SOME SINGULAR ELLIPTIC EQUATIONS

被引：0

作者：

Jin, Zhiren ^{[1
]}

机构：

[1] Wichita State Univ, Dept Math & Stat, Wichita, KS 67260 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年

关键词：

Elliptic boundary value problems; positive solutions; singular semilinear equations; unbounded domains; Perron's method; super solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：16

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