Remarks on the Rellich inequality

• Machihara, Shuji

• Ozawa, Tohru

• Wadade, Hidemitsu

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. © 2016 Springer-Verlag Berlin Heidelberg

Embargo Period 12 months

Journal

• Mathematische Zeitschrift

  Mathematische Zeitschrift 286 (3-4), 1367-1373, 2017-08-01

  Springer

Keywords

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

Details

• CRID: 1050282810916229248
• NII Article ID: 120005982988
• NII Book ID: AA10582746
• ISSN: 00255874
• ISSN: 14321823
• DOI: 10.1007/s00209-016-1805-8
• Web Site: http://hdl.handle.net/2297/46774
• Web Site: http://link.springer.com/article/10.1007/s00209-016-1805-8/fulltext.html
• Web Site: http://link.springer.com/content/pdf/10.1007/s00209-016-1805-8.pdf
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN