E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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ArXiv ID:
2512.15464
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Date (published):
17-Dec-2025
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Preprint Server:
arXiv
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Keywords:
Capillary Geometry; Christoffel--Minkowski problem
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Abstract:
We solve the capillary 𝐿ₚ-Christoffel--Minkowski problem in the half-space for 𝟷 < 𝑝 < 𝑘 + 𝟷 in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate that yields lower bounds for both the height and the capillary support function. Our result extends the capillary Christoffel--Minkowski existence result of \cite{HIS25}.
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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
