A priori bounds, existence, and uniqueness of smooth solutions to an anisotropic Lp Minkowski problem for log-concave measure

In the present article, we prove the existence and uniqueness of smooth solutions to an anisotropic Lp{L}_{p} Minkowski problem for the log-concave measure. Our proof of the existence is based on the well-known continuous method whose crucial factor is the a priori bounds of an auxiliary problem. Th...

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Bibliographic Details
Main Author: Chen Zhengmao
Format: Article
Language:English
Published: De Gruyter 2023-06-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2022-0068

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