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Browsing by Author "Spector, D."

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    A Leray-Trudinger inequality
    (2015-07-01)
    Psaradakis, G.
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    Spector, D.
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    應用數學系
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    Department of Applied Mathematics
    We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy\'s inequality in the case p = n >= 2. In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for p = 2 < n in S. Filippas and A. Tertikas (2002) [16], and for p > n >= 1 in G. Psaradakis (2012) [26]. (C) 2015 Elsevier Inc. All rights reserved.