EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR BOUNDARY-VALUE PROBLEM USING VARIATIONAL METHODS

被引：0

作者：

Liu, Jian ^{[1
]}

Zhao, Zengqin ^{[2
]}

机构：

[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Variational method; singular; mountain pass theorem; DIFFERENTIAL-EQUATIONS; DIRICHLET PROBLEMS;

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 article, we study a class of nonlinear singular boundary-value problems. We show the existence of positive weak solutions by using variational methods.

引用

页数：9

共 50 条

[1] THE EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR NONLINEAR BOUNDARY-VALUE PROBLEM
WANG, JY
JIANG, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 176 (02) : 322 - 329
[2] EXISTENCE OF SOLUTIONS OF A KIND OF SINGULAR BOUNDARY-VALUE PROBLEM
ZHANG, Y
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (02) : 153 - 159
[3] Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem
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Li, Jiemei
[J]. BOUNDARY VALUE PROBLEMS, 2010,
[4] Existence of positive solutions for a singular fractional boundary value problem
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Luca, Rodica
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (01): : 99 - 114
[5] Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem
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[J]. Boundary Value Problems, 2010
[6] POSITIVE SOLUTIONS OF A BOUNDARY-VALUE PROBLEM
HANKERSON, D
PETERSON, A
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1990, 20 (04) : 997 - 1002
[7] Existence of positive solutions for singular boundary value problem on time scales
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Liang, Jin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 517 - 528
[8] EXISTENCE OF SOLUTIONS TO A NON-LINEAR BOUNDARY-VALUE PROBLEM BY VARIATIONAL MEANS
GRAHAMEAGLE, JG
WAKE, GC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 92 (02) : 581 - 598
[9] The Existence of Positive Solutions for Singular Impulse Periodic Boundary Value Problem
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Chen, Tanggui
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[10] Existence of positive solutions to a singular second order boundary value problem
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[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (08) : 1107 - 1118

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