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 题名: The number of solutions for a class of nonlocal nonhomogeneous gradient operator equations 作者: Fan, XL(范先令) 收录类别: SCIE ; EI 出版日期: 2011-07 刊名: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 卷号: 74, 期号:11, 页码:3644-3656 出版者: ELSEVIER 出版地: OXFORD 英文摘要: This paper deals with the number of solutions for a class of nonlocal nonhomogeneous gradient operator equations of the form a(I(u))I'(u) = f, where I is an element of C-1(X, R), X is a reflexive Banach space, I(0) = 0, I is even and strictly convex, I(u)parallel to u parallel to -> + infinity as parallel to u parallel to -> infinity, I' : X -> X* is a bounded homeomorphism but is not necessarily homogeneous, a : (0,+infinity) -> R is continuous, f is an element of X* \ {0}. Some properties and examples of such a functional I are given. Some results on the number of solutions of the nonlocal equation are obtained. (C) 2011 Elsevier Ltd. All rights reserved. 关键词: Nonlocal equation ; Nonhomogeneous gradient operator ; Musielak-Sobolev space ; Number of solutions 作者部门: Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China 通讯作者: Fan, XL (reprint author), Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China. 学科分类: Mathematics 文章类型: Article 所属项目编号: National Natural Science Foundation of China [10971087] 所属项目名称: 国家自然科学基金项目 项目资助者: NSFC 语种: 英语 DOI: 10.1016/j.na.2011.02.045 ISSN号: 0362-546X WOS记录号: WOS:000290021800023 EI记录号: 20111813959486 第一机构: 是 Citation statistics: 内容类型: 期刊论文 URI标识: http://ir.lzu.edu.cn/handle/262010/118453 Appears in Collections: 数学与统计学院_期刊论文

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 Recommended Citation: Fan, XL. The number of solutions for a class of nonlocal nonhomogeneous gradient operator equations[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(11):3644-3656.
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