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 题名: SOBOLEV EMBEDDINGS FOR UNBOUNDED DOMAIN WITH VARIABLE EXPONENT HAVING VALUES ACROSS N 作者: Fan, XL(范先令) 收录类别: SCIE 出版日期: 2010-01 刊名: MATHEMATICAL INEQUALITIES & APPLICATIONS 卷号: 13, 期号:1, 页码:123-134 出版者: ELEMENT 出版地: ZAGREB 英文摘要: We study Sobolev embeddings for unbounded domain with variable exponent having values across N. A main result of this paper is the following theorem: Let Omega be an unbounded domain in RN satisfying the uniform cone condition. Suppose that p : Omega -> R is Lipschitz and 1 < inf(Omega) p <= sup(Omega) p < infinity. Then there holds a continuous embedding W(1,)p((.)) (Omega) -> L-q(.) (Omega) for any q is an element of L-infinity(Omega) satisfying condition p(x) <= q(x) similar to p*(x) for a.e. x is an element of Omega, where p*(x) = Np(x)/N-p(x) if p(x) < N and p*(x) = infinity if p(x) >= N. In this theorem the usual condition sup p(x) < N is not required. 关键词: Variable exponent Sobolev space ; Sobolev embedding ; unbounded domain ; p(x) -Laplacian equation 作者部门: [Fan, Xianling] Lanzhou City Univ, Dept Math, Lanzhou 730070, Peoples R China ; [Fan, Xianling] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China 通讯作者: Fan, XL (reprint author), Lanzhou City Univ, Dept Math, Lanzhou 730070, Peoples R China. 学科分类: Mathematics 文章类型: Article 语种: 英语 ISSN号: 1331-4343 WOS记录号: WOS:000282292900009 第一机构: 否 Citation statistics: 内容类型: 期刊论文 URI标识: http://ir.lzu.edu.cn/handle/262010/118378 Appears in Collections: 数学与统计学院_期刊论文

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 Recommended Citation: Fan, XL. SOBOLEV EMBEDDINGS FOR UNBOUNDED DOMAIN WITH VARIABLE EXPONENT HAVING VALUES ACROSS N[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS,2010,13(1):123-134.
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