On the Paneitz energy on standard three sphere
ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 2, p. 211-223

We prove that the Paneitz energy on the standard three-sphere ${S}^{3}$ is bounded from below and extremal metrics must be conformally equivalent to the standard metric.

DOI : https://doi.org/10.1051/cocv:2004002
Classification:  58E11,  35G99
Keywords: Paneitz operator, symmetrization, extremal metric
@article{COCV_2004__10_2_211_0,
author = {Yang, Paul and Zhu, Meijun},
title = {On the Paneitz energy on standard three sphere},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {10},
number = {2},
year = {2004},
pages = {211-223},
doi = {10.1051/cocv:2004002},
zbl = {1072.58026},
mrnumber = {2083484},
language = {en},
url = {http://www.numdam.org/item/COCV_2004__10_2_211_0}
}

Yang, Paul; Zhu, Meijun. On the Paneitz energy on standard three sphere. ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 2, pp. 211-223. doi : 10.1051/cocv:2004002. http://www.numdam.org/item/COCV_2004__10_2_211_0/

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