Positive solutions for one-dimensional singular p-Laplacian boundary value problems

被引：0

作者：

Song, Huijuan ^{[1
]}

Yin, Jingxue ^{[2
]}

Huang, Rui ^{[2
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2012年 / 105卷 / 02期

关键词：

p-Laplacian; positive solution; Sturm-Liouville boundary conditions; HALF-LINE; EXISTENCE;

D O I：

10.4064/ap105-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the existence of positive solutions of the equation 1/lambda(t)(lambda(t)phi(p)(x'(t)))' + mu f(t, x(t), x'(t)) = 0, where phi(p)(s) = vertical bar s vertical bar(p-2)s,p > 1, subject to some singular Sturm-Liouville boundary conditions. Using the Krasnosel'skii fixed point theorem for operators on cones, we prove the existence of positive solutions under some structure conditions.

引用

页码：125 / 144

页数：20

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