A priori bounds and existence of smooth solutions to a Lp Aleksandrov problem for Codazzi tensor with log-convex measure
In the present paper, we prove the existence of smooth solutions to a $ L_p $ Aleksandrov problem for Codazzi tensor with a log-convex measure in compact Riemannian manifolds $ (M, g) $ with positive constant sectional curvature under suitable conditions. Our proof is based on the solvability of a M...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://aimspress.com/article/doi/10.3934/era.2023042?viewType=HTML |