A Leray-Trudinger Inequality
Functional Analysis
2014-08-01 v2 Analysis of PDEs
Abstract
We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for in S. Filippas, A. Tertikas, Optimizing improved Hardy inequalities, J. Funct. Anal. 192 (1) (2002) 186--233, and for in G. Psaradakis, An optimal Hardy-Morrey inequality, Calc. Var. Partial Differential Equations 45 (3-4) (2012) 421--441.
Cite
@article{arxiv.1407.7983,
title = {A Leray-Trudinger Inequality},
author = {Georgios Psaradakis and Daniel Spector},
journal= {arXiv preprint arXiv:1407.7983},
year = {2014}
}
Comments
12 pages