POSITIVE SOLUTIONS FOR φ-LAPLACIAN DIRICHLET BVPS

被引：0

作者：

Benmezai, Abdelhamid ^{[1
]}

Djebali, Smail ^{[2
]}

Moussaoui, Toufik ^{[2
]}

机构：

[1] Fac Math, Algiers, Algeria

[2] ENS, Dept Math, Algiers 16050, Algeria

来源：

FIXED POINT THEORY | 2007年 / 8卷 / 02期

关键词：

phi-Laplacian; BVP; positive solution; cone; fixed point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present now existence results of nontrivial positive solutions for phi-Laplacian Dirichlet boundary value problems on bounded intervals of the real line. The nonlinear terms encompasses the sub-linear and super-linear cases. The Krasnosel'skii's fixed point theorem on cone expansion and compression is used. Applications to p-Laplacian problems and to the case of the sum of p-Laplacian and q-Laplacian (p not equal q) operators axe given.

引用

页码：167 / 186

页数：20

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