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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
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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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