E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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ArXiv ID:
2509.06110
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Date (published):
7-Sep-2025
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Preprint Server:
arXiv
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Keywords:
Capillary Geometry; Minkowski problem
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Abstract:
We study the long-time existence and asymptotic behavior of a class of anisotropic capillary Gauss curvature flows. As an application, we provide a flow approach to the existence of smooth solutions to the capillary even $L_p$ Minkowski problem in the Euclidean half-space for all $p \in (-n-1, \infty)$ and capillary $L_p$ Minkowski problem for $p > n+1$
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Project title:
Existenz und Eindeutigkeit von Lösungen für Krümmungsprobleme: P 36545-N (FWF - Österr. Wissenschaftsfonds)
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Project (external):
National Key Research and Development Program of China
