Remarks on the Rellich inequality
Classical Analysis and ODEs
2016-11-14 v1
Abstract
We study the Rellich inequalities in the framework of equalities. We present equalities which imply the Rellich inequalities by dropping remainders. This provides a simple and direct understanding of the Rellich inequalities as well as the nonexistence of nontrivial extremisers.
Keywords
Cite
@article{arxiv.1611.03625,
title = {Remarks on the Rellich inequality},
author = {Shuji Machihara and Tohru Ozawa and Hidemitsu Wadade},
journal= {arXiv preprint arXiv:1611.03625},
year = {2016}
}
Comments
This paper is to appear in Math. Z