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A flow approach to the planar Lp$L_p$ Minkowski problem
Authors:Yunlong Yang  Lina Liu  Jianbo Fang
Affiliation:1. School of Science, Dalian Maritime University, Dalian, China;2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, China
Abstract:This paper will establish the asymptotic behavior of an anisotropic area-preserving flow which shows the existence of smooth solutions of the planar L p $L_p$ Minkowski problem for p 0 $pne 0$ .
Keywords:area-preserving flow  asymptotic behavior  Lp$L_p$ Minkowski problem
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