Some Higher Order Isoperimetric Inequalities via the Method of Optimal Transport

DOI10.1093/imrn/rnt182zbMath1309.53003arXiv1305.3004OpenAlexW2963388424MaRDI QIDQ2937701

Sun Yung Alice Chang, Yi Wang

Publication date: 12 January 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3004

zbMATH Keywords

Alexandrov-Fenchel inequalities

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (6)

Sharp weighted isoperimetric and Caffarelli-Kohn-Nirenberg inequalities ⋮ Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball ⋮ Minkowski inequality for nearly spherical domains ⋮ Stability of quermassintegral inequalities along inverse curvature flows ⋮ Willmore inequality on hypersurfaces in hyperbolic space ⋮ A volume-preserving anisotropic mean curvature type flow

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