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- W2052047205 abstract "In this paper, we prove sharp inequalities between the volume and the integral of the kth mean curvature for (k + 1)-convex domains in the Euclidean space for all k. We generalize the recent results of Chang and Wang [Some higher order isoperimetric inequalities via the method of optimal transport, preprint (2013); arXiv:1305.3004], where they prove the case k = 1, 2. The idea is the same as [S.-Y. A. Chang and Y. Wang, Some higher order isoperimetric inequalities via the method of optimal transport, preprint (2013); arXiv:1305.3004], but calculations are involved." @default.
- W2052047205 created "2016-06-24" @default.
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- W2052047205 date "2015-03-23" @default.
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- W2052047205 title "A family of higher-order isoperimetric inequalities" @default.
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- W2052047205 doi "https://doi.org/10.1142/s0219199714500151" @default.
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