Some Higher Order Isoperimetric Inequalities via the Method of Optimal Transport
Author(s): Chang, Sun-Yung A.; Wang, Yi
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http://arks.princeton.edu/ark:/88435/pr13x89| Abstract: | In this paper, we establish some sharp inequalities between the volume and the integral of the kth mean curvature for (k + 1)-convex domains in the Euclidean space. The results generalize the classical Alexandrov-Fenchel inequalities for convex domains. Our proof utilizes the method of optimal transportation. |
| Publication Date: | 2014 |
| Electronic Publication Date: | 22-Aug-2013 |
| Citation: | Chang, Sun-Yung A, Wang, Yi. (2014). Some Higher Order Isoperimetric Inequalities via the Method of Optimal Transport. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 6619 - 6644. doi:10.1093/imrn/rnt182 |
| DOI: | doi:10.1093/imrn/rnt182 |
| ISSN: | 1073-7928 |
| EISSN: | 1687-0247 |
| Pages: | 6619 - 6644 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
| Version: | Author's manuscript |
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