A Leray-Trudinger inequality

doi:10.1016/j.jfa.2015.04.007

Title:	A Leray-Trudinger inequality
Authors:	Psaradakis, G. Spector, D. 應用數學系 Department of Applied Mathematics
Keywords:	Hardy inequality;Leray potential;Borderline Sobolev embedding
Issue Date:	1-Jul-2015
Abstract:	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.
URI:	http://dx.doi.org/10.1016/j.jfa.2015.04.007 http://hdl.handle.net/11536/124761
ISSN:	0022-1236
DOI:	10.1016/j.jfa.2015.04.007
Journal:	JOURNAL OF FUNCTIONAL ANALYSIS
Volume:	269
Begin Page:	215
End Page:	228
Appears in Collections:	Articles