Paneitz operator for metrics near S-3

Author(s): Hang, Fengbo; Yang, Paul C.

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DC Field	Value	Language
dc.contributor.author	Hang, Fengbo	-
dc.contributor.author	Yang, Paul C.	-
dc.date.accessioned	2019-04-05T20:02:48Z	-
dc.date.available	2019-04-05T20:02:48Z	-
dc.date.issued	2017-08	en_US
dc.identifier.citation	Hang, Fengbo, Yang, Paul C. (2017). Paneitz operator for metrics near S-3. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 56, doi:10.1007/s00526-017-1201-1	en_US
dc.identifier.issn	0944-2669	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr15t3s	-
dc.description.abstract	We derive the first and second variation formula for the Green’s function pole’s value of Paneitz operator on the standard three sphere. In particular it is shown that the first variation vanishes and the second variation is nonpositively definite. Moreover, the second variation vanishes only at the direction of conformal deformation. We also introduce a new invariant of the Paneitz operator and illustrate its close relation with the second eigenvalue and Sobolev inequality of Paneitz operator.	en_US
dc.format.extent	1 - 25	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS	en_US
dc.rights	Author's manuscript	en_US
dc.title	Paneitz operator for metrics near S-3	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1007/s00526-017-1201-1	-
dc.date.eissued	2017-07-10	en_US
dc.identifier.eissn	1432-0835	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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