# On the Paneitz energy on standard three sphere

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 10, Issue: 2, page 211-223
- ISSN: 1292-8119

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topYang, Paul, and Zhu, Meijun. "On the Paneitz energy on standard three sphere." ESAIM: Control, Optimisation and Calculus of Variations 10.2 (2010): 211-223. <http://eudml.org/doc/90726>.

@article{Yang2010,

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.
},

author = {Yang, Paul, Zhu, Meijun},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Paneitz operator; symmetrization; extremal metric.; extremal metric},

language = {eng},

month = {3},

number = {2},

pages = {211-223},

publisher = {EDP Sciences},

title = {On the Paneitz energy on standard three sphere},

url = {http://eudml.org/doc/90726},

volume = {10},

year = {2010},

}

TY - JOUR

AU - Yang, Paul

AU - Zhu, Meijun

TI - On the Paneitz energy on standard three sphere

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 10

IS - 2

SP - 211

EP - 223

AB -
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.

LA - eng

KW - Paneitz operator; symmetrization; extremal metric.; extremal metric

UR - http://eudml.org/doc/90726

ER -

## References

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