Multiplicity Results for Second Order Non-Autonomous Singular Dirichlet Systems

被引：14

作者：

Chu, Jifeng ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

ACTA APPLICANDAE MATHEMATICAE | 2009年 / 105卷 / 03期

关键词：

Positive solutions; Singular Dirichlet systems; Leray-Schauder alternative principle; Truncation techniques; Fixed point theorem in cones; BOUNDARY-VALUE-PROBLEMS; SEMILINEAR DIFFERENTIAL-EQUATIONS; POSITIVE PERIODIC-SOLUTIONS; CONJUGATE;

D O I：

10.1007/s10440-008-9277-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish multiplicity results for second order non-autonomous singular Dirichlet systems. The proof is based on a well-known fixed point theorem in cones, and an existence principle proved in Agarwal and O'Regan (J. Differ. Equ. 175:393-414, 2001), which was established using a nonlinear alternative of Leray-Schauder type. Truncation techniques play an important role in the analysis. Some recent results in the literature are generalized and improved.

引用

页码：323 / 338

页数：16

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