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arXiv · 1407.7983

A Leray-Trudinger Inequality

Georgios Psaradakis·Daniel Spector
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Abstract

We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case $p=n\geq2.$ In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for $p=2 n\geq1$ in G. Psaradakis, An optimal Hardy-Morrey inequality, Calc. Var. Partial Differential Equations 45 (3-4) (2012) 421--441.

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Georgios Psaradakis, Daniel Spector. 2014-07-31. A Leray-Trudinger Inequality. https://arxiv.org/abs/1407.7983

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