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.

This paper is to appear in Math. Z

References in corpus (1)

• On the best possible remaining term in the Hardy Inequality