Remarks on the Rellich inequality

Shuji Machihara; Tohru Ozawa; Hidemitsu Wadade

doi:10.1007/s00209-016-1805-8

Remarks on the Rellich inequality

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade^*

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1367-1373
Number of pages	7
Journal	Mathematische Zeitschrift
Volume	286
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-016-1805-8
Publication status	Published - 2017 Aug 1

Keywords

Hardy inequality
Nontrivial extremiser
Rellich inequality
Schrödinger operator
Vanishing condition of remainder

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-016-1805-8

Cite this

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KW - Schrödinger operator

KW - Vanishing condition of remainder

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Remarks on the Rellich inequality

Abstract

Keywords

ASJC Scopus subject areas

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