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A flow approach to the fractional Minkowski problem - MaRDI portal

A flow approach to the fractional Minkowski problem (Q1681814)

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scientific article; zbMATH DE number 6812623
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A flow approach to the fractional Minkowski problem
scientific article; zbMATH DE number 6812623

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    A flow approach to the fractional Minkowski problem (English)
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    24 November 2017
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    The authors study the asymptotic behaviour of a planar, anisotropic curvature flow. They exploit the connection between solutions to elliptic partial differential equations and special solutions to parabolic equations and present in a new way the proof of the existence of smooth solutions to the planar \(L_p\)-Minkowski problem with \(0 < p < 1\).
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    asymptotic behaviour
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    convex bodies
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    curvature flows
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    planar Minkowski problem
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