A priori bounds and existence of smooth solutions to Minkowski problems for log-concave measures in warped product space forms
In the present paper, we prove the a priori bounds and existence of smooth solutions to a Minkowski type problem for the log-concave measure $ e^{-f(|x|^2)}dx $ in warped product space forms with zero sectional curvature. Our proof is based on the method of continuity. The crucial factor of the anal...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023663?viewType=HTML |