On the Paneitz energy on standard three sphere

Paul Yang, Meijun Zhu

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


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
Issue number2
StatePublished - Apr 2004

All Science Journal Classification (ASJC) codes

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


  • Extremal metric
  • Paneitz operator
  • Symmetrization


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