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<title>Weiru Liu — Neckpinch</title><link>https://neckpinch.com/authors/weiru-liu/</link><description>New arXiv papers by Weiru Liu, from Neckpinch</description>
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<item><title>Uniqueness of solutions to the logarithmic Minkowski problem in ℝ³</title><link>https://neckpinch.com/papers/2202.10074/</link><guid isPermaLink="false">arxiv:2202.10074</guid><pubDate>Mon, 21 Feb 2022 00:00:00 GMT</pubDate><description>Shibing Chen, Yibin Feng, Weiru Liu — In this paper, we prove the uniqueness of solutions to the logarithmic Minkowski problem in ℝ³ without symmetry condition, provided the density of the measure is close to 1 in C^α norm. This result also implies the uniqueness of self-similar solutions to the anisotropic Gauss curvature flow in ℝ³ when the speed function is C^α close to a positive constant.</description><category>Other curvature flows</category><category>Gauss curvature flow</category><category>Anisotropic &amp; nonlocal flows</category><category>Stability &amp; uniqueness</category></item>
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