Sharp Adams-type inequality invoking Hardy inequalities
Analysis of PDEs
2015-02-19 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We establish a sharp Adams-type inequality invoking a Hardy inequality for any even dimension. This leads to a non compact Sobolev embedding in some Orlicz space. We also give a description of the lack of compactness of this embedding in the spirit of \cite{Bahouri}.
Cite
@article{arxiv.1502.05154,
title = {Sharp Adams-type inequality invoking Hardy inequalities},
author = {Mohamed Khalil Zghal},
journal= {arXiv preprint arXiv:1502.05154},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1003.2562 by other authors