The \(L_p\) Minkowski type problem for a class of mixed Hessian quotient equations (Q2105753)
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scientific article; zbMATH DE number 7629541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(L_p\) Minkowski type problem for a class of mixed Hessian quotient equations |
scientific article; zbMATH DE number 7629541 |
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The \(L_p\) Minkowski type problem for a class of mixed Hessian quotient equations (English)
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8 December 2022
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The authors prove existence and uniqueness of the admissible solutions to the \(L_p\) Minkowski type problem for mixed Hessian operators. Based on the new phenomenon of ``inverse convexity'' of these operators, the existence of the geometric convex solutions is shown by using the Full Rank Theorem.
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Hessian operators
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\(\widetilde{{\Gamma}_k} \)-admissible solution
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full rank theorem
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``inverse convexity''
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0.90038675
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0.8977788
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0.8967501
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0.8951847
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0.89508355
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0.89330065
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0.89031744
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0.88975596
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0.88963187
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