SOBOLEV TRACE INEQUALITIES OF ORDER FOUR

Author(s): Ache, Antonio G; Chang, Sun-Yung A.

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DC Field	Value	Language
dc.contributor.author	Ache, Antonio G	-
dc.contributor.author	Chang, Sun-Yung A.	-
dc.date.accessioned	2019-10-09T19:47:56Z	-
dc.date.available	2019-10-09T19:47:56Z	-
dc.date.issued	2017-10-01	en_US
dc.identifier.citation	Ache, Antonio G, Chang, Sun-Yung Alice. (2017). SOBOLEV TRACE INEQUALITIES OF ORDER FOUR. DUKE MATHEMATICAL JOURNAL, 166 (2719 - 2748. doi:10.1215/00127094-2017-0014	en_US
dc.identifier.issn	0012-7094	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1vf1p	-
dc.description.abstract	We establish sharp trace Sobolev inequalities of order four on Euclidean d-balls for d >= 4. When d = 4, our inequality generalizes the classical second-order LebedevMilin inequality on Euclidean 2-balls. Our method relies on the use of scattering theory on hyperbolic d-balls. As an application, we characterize the extremal metric of the main term in the log-determinant formula corresponding to the conformal Laplacian coupled with the boundary Robin operator on Euclidean 4-balls, which surprisingly is not the flat metric on the ball.	en_US
dc.format.extent	2719 - 2748	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	DUKE MATHEMATICAL JOURNAL	en_US
dc.rights	Author's manuscript	en_US
dc.title	SOBOLEV TRACE INEQUALITIES OF ORDER FOUR	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1215/00127094-2017-0014	-
dc.date.eissued	2017-08-14	en_US
dc.identifier.eissn	1547-7398	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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