On the Paneitz energy on standard three sphere

Paul Yang, Meijun Zhu

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We prove that the Paneitz energy on the standard three-sphere S3 is bounded from below and extremal metrics must be conformally equivalent to the standard metric.

Original languageEnglish (US)
Pages (from-to)211-223
Number of pages13
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume10
Issue number2
DOIs
StatePublished - Apr 2004

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics

Keywords

  • Extremal metric
  • Paneitz operator
  • Symmetrization

Fingerprint Dive into the research topics of 'On the Paneitz energy on standard three sphere'. Together they form a unique fingerprint.

Cite this