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Issue ESAIM: COCV
Volume 10, Number 2, April 2004
Page(s) 211 - 223
DOI 10.1051/cocv:2004002

ESAIM: COCV, April 2004, Vol. 10, pp. 211-223
DOI: 10.1051/cocv:2004002

On the Paneitz energy on standard three sphere

Paul Yang1 and Meijun Zhu2

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 April 21, 2003. Revised July 21, 2003.)

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.


Mathematics Subject Classification. 58E11, 35G99.

Key words: Paneitz operator, symmetrization, extremal metric.


© EDP Sciences, SMAI 2004


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