Some Higher Order Isoperimetric Inequalities via the Method of Optimal Transport

Author(s): Chang, Sun-Yung A.; Wang, Yi

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DC Field	Value	Language
dc.contributor.author	Chang, Sun-Yung A.	-
dc.contributor.author	Wang, Yi	-
dc.date.accessioned	2019-10-09T19:47:55Z	-
dc.date.available	2019-10-09T19:47:55Z	-
dc.date.issued	2014	en_US
dc.identifier.citation	Chang, Sun-Yung A, Wang, Yi. (2014). Some Higher Order Isoperimetric Inequalities via the Method of Optimal Transport. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 6619 - 6644. doi:10.1093/imrn/rnt182	en_US
dc.identifier.issn	1073-7928	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr13x89	-
dc.description.abstract	In this paper, we establish some sharp inequalities between the volume and the integral of the kth mean curvature for (k + 1)-convex domains in the Euclidean space. The results generalize the classical Alexandrov-Fenchel inequalities for convex domains. Our proof utilizes the method of optimal transportation.	en_US
dc.format.extent	6619 - 6644	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	INTERNATIONAL MATHEMATICS RESEARCH NOTICES	en_US
dc.rights	Author's manuscript	en_US
dc.title	Some Higher Order Isoperimetric Inequalities via the Method of Optimal Transport	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1093/imrn/rnt182	-
dc.date.eissued	2013-08-22	en_US
dc.identifier.eissn	1687-0247	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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