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A unified flow
approach to smooth, even $L_p$-Minkowski problems
Paul Bryan, Mohammad N. Ivaki and Julian Scheuer |
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Vol. 12 (2019), No. 2, 259–280
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DOI: 10.2140/apde.2019.12.259
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Abstract |
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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 -Minkowski problems in for . |
Keywords
curvature flow, anisotropic flow, Minkowski problem
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Mathematical Subject Classification 2010
Primary: 53C44
Secondary: 35K55, 52A05, 53A15, 58J35
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Milestones
Received: 9 August 2016
Accepted: 1 May 2018
Published: 14 August 2018
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Authors |
| Paul Bryan | |
| Department of Mathematics Macquarie University Sydney Australia |
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| Mohammad N. Ivaki | |
| Department of Mathematics University of Toronto Toronto, ON Canada |
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| Julian Scheuer | |
| Mathematisches Institut Albert-Ludwigs-Universität Freiburg Germany |
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