EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FOUR-POINT BOUNDARY VALUE PROBLEM WITH A p-LAPLACIAN

被引：1

作者：

Miao, Chunmei ^{[1
,2
]}

Zhao, Junfang ^{[1
]}

Ge, Weigao ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[2] Changchun Univ, Coll Sci, Changchun 130022, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2009年 / 59卷 / 04期

关键词：

singular; four-point; positive solution; p-Laplacian; M-POINT BOUNDARY; EQUATIONS;

D O I：

10.1007/s10587-009-0066-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with the four-point singular boundary value problem {(phi(p)(u'(t)))' + q(t) f(t, u(t), u'(t)) = 0, t is an element of (0, 1), u'(0) - alpha u(xi) = 0, u'(1) + beta u(eta) = 0, where phi(p)(s) = |s|(p-2) s, p > 1, 0 < xi < eta < 1, alpha, beta > 0, q is an element of C[0, 1], q(t) > 0, t is an element of (0, 1), and f is an element of C([0, 1] x (0,+infinity) x R, (0,+infinity)) may be singular at u = 0. By using the well-known theory of the Leray-Schauder degree, sufficient conditions are given for the existence of positive solutions.

引用

页码：957 / 973

页数：17

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