Remarks on the Rellich inequality

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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 languageEnglish
Pages (from-to)1367-1373
Number of pages7
JournalMathematische Zeitschrift
Issue number3-4
Publication statusPublished - 2017 Aug 1


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

ASJC Scopus subject areas

  • Mathematics(all)


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