A family of higher-order isoperimetric inequalities
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Publication:4983008
DOI10.1142/S0219199714500151zbMath1316.52005MaRDI QIDQ4983008
Publication date: 14 April 2015
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (8)
Minkowski inequalities via nonlinear potential theory ⋮ Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball ⋮ Minkowski inequality for nearly spherical domains ⋮ The exterior Dirichlet problem for the homogeneous complex \(k\)-Hessian equation ⋮ Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary ⋮ Willmore inequality on hypersurfaces in hyperbolic space ⋮ A volume-preserving anisotropic mean curvature type flow ⋮ The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality
Cites Work
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- A convexity principle for interacting gases
- A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
- Isoperimetric inequalities for quermassintegrals
- Inequalities for quermassintegrals on \(k\)-convex domains
- Polar factorization and monotone rearrangement of vector‐valued functions
- Boundary regularity of maps with convex potentials
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