| Issue |
ESAIM: COCV
Volume 10, Number 2, April 2004
|
|
|---|---|---|
| Page(s) | 211 - 223 | |
| DOI | https://doi.org/10.1051/cocv:2004002 | |
| Published online | 15 March 2004 | |
On the Paneitz energy on standard three sphere
1
Mathematics Department,
Princeton University, Princeton, NJ 08544, USA.
2
Department of Mathematics,
University of Oklahoma,
Norman, Oklahoma 73019, USA; mzhu@math.ou.edu.
Received:
21
April
2003
Revised:
21
July
2003
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.
Mathematics Subject Classification: 58E11 / 35G99
Key words: Paneitz operator / symmetrization / extremal metric.
© EDP Sciences, SMAI, 2004
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.