On the Paneitz energy on standard three sphere

Paul Yang; Meijun Zhu

doi:10.1051/cocv:2004002

On the Paneitz energy on standard three sphere

Paul Yang
, Meijun Zhu

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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.

Original language	English (US)
Pages (from-to)	211-223
Number of pages	13
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	10
Issue number	2
DOIs	https://doi.org/10.1051/cocv:2004002
State	Published - Apr 2004

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Control and Optimization
Computational Mathematics

Keywords

Extremal metric
Paneitz operator
Symmetrization

Access to Document

10.1051/cocv:2004002

Cite this

@article{3fd496831c5b4334bdb8b633ff03dd05,

title = "On the Paneitz energy on standard three sphere",

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.",

keywords = "Extremal metric, Paneitz operator, Symmetrization",

author = "Paul Yang and Meijun Zhu",

year = "2004",

month = apr,

doi = "10.1051/cocv:2004002",

language = "English (US)",

volume = "10",

pages = "211--223",

journal = "ESAIM - Control, Optimisation and Calculus of Variations",

issn = "1292-8119",

publisher = "EDP Sciences",

number = "2",

}

TY - JOUR

T1 - On the Paneitz energy on standard three sphere

AU - Yang, Paul

AU - Zhu, Meijun

PY - 2004/4

Y1 - 2004/4

N2 - 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.

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.

KW - Extremal metric

KW - Paneitz operator

KW - Symmetrization

UR - https://www.scopus.com/pages/publications/12844259495

UR - https://www.scopus.com/pages/publications/12844259495#tab=citedBy

U2 - 10.1051/cocv:2004002

DO - 10.1051/cocv:2004002

M3 - Article

AN - SCOPUS:12844259495

SN - 1292-8119

VL - 10

SP - 211

EP - 223

JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

IS - 2

ER -

On the Paneitz energy on standard three sphere

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this