Multiple positive solutions for a class of semilinear elliptic boundary value problems

被引：34

作者：

Maya, C ^{[1
]}

Shivaji, R ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 38卷 / 04期

关键词：

sublinear; sub-super solutions; semipositone;

D O I：

10.1016/S0362-546X(98)00211-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A semilinear elliptic boundary value problem is solved. The problem is given by the equation -Δu(x) = λf(u(x)), x∈Ω, u(x) = 0, x∈∂Ω, where λ>0 is a parameter and Ω is a bounded region in Rn with smooth boundary ∂Ω. The existence, multiplicity and non-existence of positive classical solutions are studied.

引用

页码：497 / 504

页数：8

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