# Paneitz operator for metrics near S-3

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

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr15t3s
DC FieldValueLanguage
dc.contributor.authorHang, Fengbo-
dc.contributor.authorYang, Paul C.-
dc.date.accessioned2019-04-05T20:02:48Z-
dc.date.available2019-04-05T20:02:48Z-
dc.date.issued2017-08en_US
dc.identifier.citationHang, Fengbo, Yang, Paul C. (2017). Paneitz operator for metrics near S-3. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 56, doi:10.1007/s00526-017-1201-1en_US
dc.identifier.issn0944-2669-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr15t3s-
dc.description.abstractWe 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.extent1 - 25en_US
dc.language.isoen_USen_US
dc.relation.ispartofCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONSen_US
dc.rightsAuthor's manuscripten_US
dc.titlePaneitz operator for metrics near S-3en_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/s00526-017-1201-1-
dc.date.eissued2017-07-10en_US
dc.identifier.eissn1432-0835-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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