The sharp convex mixed Lorentz-Sobolev inequality (Q2334524)
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| Language | Label | Description | Also known as |
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| English | The sharp convex mixed Lorentz-Sobolev inequality |
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The sharp convex mixed Lorentz-Sobolev inequality (English)
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7 November 2019
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The authors obtain a sharp convex mixed Lorentz-Sobolev inequality, as the functional version of an \(L^p\) Minkowski inequality. Their result is stronger than previous results, such as the sharp convex Lorentz-Sobolev inequality of \textit{M. Ludwig} et al. [Math. Ann. 350, No. 1, 169--197 (2011; Zbl 1220.26020)].
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Lorentz-Sobolev inequality
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isoperimetric inequality
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\(L_p\) Minkowski problem
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Petty projection inequality
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\(L_p\) mixed volume
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