The Existence of Three Positive Solutions for a Class of Nonlinear Three-Point Boundary Value Problem with p-Laplacian 被引量：2

The Existence of Three Positive Solutions for a Class of Nonlinear Three-Point Boundary Value Problem with p-Laplacian

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摘要 This paper deals with the existence of three positive solutions for a class of nonlinear singular three-point boundary value problem with p-Laplacian. By means of a fixed point theorem duo to Leggett and Williams, sufficient condition for the existence of at least three positive solutions to the nonlinear singular three-point boundary value problem is established This paper deals with the existence of three positive solutions for a class of nonlinear singular three-point boundary value problem with p-Laplacian.By means of a fixed point theorem duo to Leggett and Williams,suffcient condition for the existence of at least three positive solutions to the nonlinear singular three-point boundary value problem is established.

作者 LI Xiang Feng XU Hong Wu

机构地区 Department of Mathematics

出处《Journal of Mathematical Research and Exposition》 CSCD 2009年第3期507-516,共10页 数学研究与评论（英文版）

基金 the Tutorial Scientific Research Program Foundation of Education Department of Gansu Province (Nos. 0710-04 0810-03)

关键词 p-Laplacian operator positive solution three-point singular boundary value problem fixed-point theorem 非线性三点边值问题 Laplacian算子正解不动点定理充分条件奇异

分类号 O241.81 [理学—计算数学] TP391.41 [理学—数学]

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参考文献13

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1孙彦,徐本龙,刘立山.无穷区间上非线性微分方程单调正解的存在唯一性[J].应用数学学报,2006,29(5):866-871. 被引量：4
2袁秀丽.半无穷区间奇异二阶微分方程边值问题的正解的存在性[J].曲阜师范大学学报（自然科学版）,2010,36(1):23-28. 被引量：1
3赵增勤.锥上减映象的不动点及其在非局部边值问题中的应用[J].系统科学与数学,2010,30(4):493-500. 被引量：3

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1Gao Yunzhu Pei Minghe.EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR HIGHER ORDER NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS[J].Annals of Differential Equations,2007,23(4):405-409.
2石远超,马宏,李海涛.一种基于p-Laplacian的谱聚类维数约简算法[J].计算机应用研究,2012,29(6):2126-2128.
3Xian-zhong ZENG,Zhen-hai LI,Yong-geng GU.Existence and Nonexistence of Global Positive Solutions for a Weakly Coupled P-Laplacian System[J].Acta Mathematicae Applicatae Sinica,2013,29(3):541-554.
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5Xiaofei Wu,Xidong Sun.EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH DELAY[J].Annals of Differential Equations,2014,30(3):340-351. 被引量：2
6Zhou-xin Li Yao-tian Shen.Existence of Nontrivial Solutions for p-Laplacian-Like Equations[J].Acta Mathematicae Applicatae Sinica,2011,27(3):393-406. 被引量：1
7WANG Lin-feng,ZHU Yue-ping.A sharp gradient estimate for the weighted p-Laplacian[J].Applied Mathematics(A Journal of Chinese Universities),2012,27(4):462-474. 被引量：2
8Qi Wang,Dicheng Lu,Rui Wang,Yayun Fang.POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH PARAMETER[J].Annals of Differential Equations,2014,30(2):191-198.
9尹景学,金春花,杨莹.CRITICAL EXPONENTS OF EVOLUTIONARY p-LAPLACIAN WITH INTERIOR AND BOUNDARY SOURCES[J].Acta Mathematica Scientia,2011,31(3):778-790. 被引量：3
10Zifei SHEN Songqiang WAN.Existence of Nontrivial Solutions for p-Laplacian Variational Inclusion Systems in R^N[J].Chinese Annals of Mathematics,Series B,2011,32(4):619-630. 被引量：1

Journal of Mathematical Research and Exposition

2009年第3期

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The Existence of Three Positive Solutions for a Class of Nonlinear Three-Point Boundary Value Problem with p-Laplacian 被引量：2

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