A unified flow approach to smooth, even Lp-Minkowski problems

Bryan, Paul, Ivaki, Mohammad N. and Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 2019. A unified flow approach to smooth, even Lp-Minkowski problems. Analysis & PDE 12 (2) , pp. 259-280. 10.2140/apde.2019.12.259

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Abstract

We study long-time existence and asymptotic behavior for a class of anisotropic, expanding curvature flows. For this we adapt new curvature estimates, which were developed by Guan, Ren and Wang to treat some stationary prescribed curvature problems. As an application we give a unified flow approach to the existence of smooth, even L p -Minkowski problems in R n + 1 for p > − n − 1 .

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	MATHEMATICAL SCIENCE PUBL
ISSN:	1948-206X
Date of First Compliant Deposit:	8 October 2020
Date of Acceptance:	1 May 2018
Last Modified:	16 Nov 2024 06:15
URI:	https://orca.cardiff.ac.uk/id/eprint/135465

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