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兰州大学机构库  > 数学与统计学院  > 期刊论文
题名: Unilateral Global Bifurcation, Half-Linear Eigenvalues and Constant Sign Solutions for a Fractional Laplace Problem
作者: Yang, BX; Sun, HR; Feng, ZS
收录类别: SCIE
出版日期: 2017-01
刊名: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷号: 27, 期号:1-1
出版者: WORLD SCIENTIFIC PUBL CO PTE LTD
出版地: SINGAPORE
英文摘要: In this paper, we are concerned with the unilateral global bifurcation structure of fractional differential equation {(-Delta(alpha)u(x) = lambda a(x)u(x) + F(x, u,lambda), x. is an element of Omega, u=0, in R-N\Omega with nondifferentiable nonlinearity F. It shows that there are two distinct unbounded subcontinua C+ and C- consisting of the continuum C emanating from [lambda(1) - d,lambda(1) + d] x {0}, and two unbounded subcontinua D+ and D- consisting of the continuum D emanating from [lambda(1) - (d) over bar, lambda(1) + (d) over bar] x {infinity}. As an application of this unilateral global bifurcation results, we present the existence of the principal half-eigenvalues of the half-linear fractional eigenvalue problem. Finally, we deal with the existence of constant sign solutions for a class of fractional nonlinear problems. Main results of this paper generalize the known results on classical Laplace operators to fractional Laplace operators.
关键词: Global bifurcation ; fractional Laplace ; half-eigenvalues ; constant sign solutions
作者部门: [Yang, Bian-Xia] Northwest A&F Univ, Coll Sci, Yangling 712100, Shaanxi, Peoples R China ; [Yang, Bian-Xia] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA ; [Sun, Hong-Rui] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China ; [Feng, Zhaosheng] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA
通讯作者: Feng, ZS (reprint author), Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA.
学科分类: Mathematics; Science & Technology - Other Topics
文章类型: Article
所属项目编号: Program of China Scholarship Council ; Department of Mathematics at the University of Texas Rio Grande Valley ; Program of New Century Excellent Talents [NCET-12-0246, FRFCU lzujbky-2013-k02, FRFCU lzujbky-2015-75] ; NSF of China [2013AA013702 (863), 2013CB834205 (973)]
所属项目名称: 国家自然科学基金项目 ; 国家重点基础研究发展计划以及国家重大科学研究计划(973计划) ; 国家高技术研究发展计划(863计划) ; 新世纪优秀人才支持计划 ; 国家留学基金委项目 ; 中央高校基本科研业务费专项资金
项目资助者: NSFC ; MOST ; MOE ; CSC ; LZU
语种: 英语
DOI: 10.1142/S0218127417500158
ISSN号: 0218-1274
WOS记录号: WOS:000395312600019
IR记录号: WOS:000395312600019
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内容类型: 期刊论文
URI标识: http://ir.lzu.edu.cn/handle/262010/189081
Appears in Collections:数学与统计学院_期刊论文

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Recommended Citation:
Yang, BX,Sun, HR,Feng, ZS. Unilateral Global Bifurcation, Half-Linear Eigenvalues and Constant Sign Solutions for a Fractional Laplace Problem[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2017,27(1-1).
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