Hu, Y., & Ivaki, M. N. (2024). On the uniqueness of solutions to the isotropic Lp dual Minkowski problem. Nonlinear Analysis, 241, Article 113493. https://doi.org/10.1016/j.na.2024.113493
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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Journal:
Nonlinear Analysis
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ISSN:
0362-546X
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Date (published):
Apr-2024
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Number of Pages:
6
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Publisher:
Elsevier
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Peer reviewed:
Yes
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Keywords:
Lp dual Minkowski problem; Uniqueness
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Abstract:
We prove that the unit sphere is the only smooth, strictly convex solution to the isotropic Lp dual Minkowski problem h^{p−1}|Dh|^{n+1−q}K=1, provided (p,q)∈(−n−1,−1]×[n,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 National Natural Science Foundation of China
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