@article{735a5d6b537f49cf96c22b8152d74c96,
title = "Remarks on the Rellich inequality",
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 = "Hardy inequality, Nontrivial extremiser, Rellich inequality, Schr{\"o}dinger operator, Vanishing condition of remainder",
author = "Shuji Machihara and Tohru Ozawa and Hidemitsu Wadade",
note = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",
year = "2017",
month = aug,
day = "1",
doi = "10.1007/s00209-016-1805-8",
language = "English",
volume = "286",
pages = "1367--1373",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "3-4",
}