关于杜宾斯基非线性紧嵌入定理的几点思考

Publications De L'institut Mathematique Pub Date : 2011-01-10 DOI:10.2298/PIM1205095B

J. Barrett, E. Suli

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引用次数: 26

摘要

我们概述了yulik Andreevich dubinski的一个结果[Mat. Sb. 67 (109) (1965);译自美国。数学。Soc。Transl。(2) 67(1968)]，关于半成形集合在Lp(0, T;A0)中的紧嵌入，其中A0是Banach空间，p 2 [1,1];建立了dubinski定理的一个变体，其中用半形非负锥代替半形集;并探讨了这些结果与Emmanuel Maitre [Int]的非线性紧嵌入定理之间的联系。j .数学。数学。科学27(2003)。

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Reflections on Dubinskiĭ’s nonlinear compact embedding theorem

We present an overview of a result by Yuliĭ Andreevich Dubinskiĭ [Mat. Sb. 67 (109) (1965); translated in Amer. Math. Soc. Transl. (2) 67 (1968)], concerning the compact embedding of a seminormed set in Lp(0, T;A0), where A0 is a Banach space and p 2 [1,1]; we establish a variant of Dubinskiĭ’s theorem, where a seminormed nonnegative cone is used instead of a seminormed set; and we explore the connections of these results with a nonlinear compact embedding theorem due to Emmanuel Maitre [Int. J. Math. Math. Sci. 27 (2003)].

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Publications De L'institut Mathematique

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