Positive Solutions to Singular Semilinear Elliptic Problems

被引：0

作者：

Khalifa El Mabrouk

机构：

[1] Faculty of Sciences of Monastir,Department of Mathematics

来源：

Positivity | 2006年 / 10卷

关键词：

35J65; 35D05; 31C45; Singular semilinear problem; Greenian domain; Green function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain a characterization of all locally bounded functions p ≥ 0 for which the equation (E) Δu +p(x)ψ(u) = 0 has a positive solution in Ω vanishing on the boundary, where Ω is a domain of ℝN and ψ > 0 is a nonincreasing continuous function on ]0,∞[. In particular, for Ω = ℝN with N ≥ 3, it is shown that (E) has a (unique) positive solution in ℝN which decays to zero at infinity if and only if the set {p > 0} has positive Lebesgue measure and

引用

页码：665 / 680

页数：15

共 20 条

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