The \(p\)-affine capacity redux

DOI10.1007/s12220-017-9785-4zbMath1391.53009OpenAlexW2588521390MaRDI QIDQ1747533

Jie Xiao

Publication date: 8 May 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9785-4

zbMATH Keywords

\(p\)-affine capacity\(p\)-capacity

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Potentials and capacities on other spaces (31C15) Affine differential geometry (53A15)

Related Items (5)

Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) ⋮ The affine convex Lorentz-Sobolev inequalities ⋮ A new capacity for the affine bounded variation ⋮ The \(L^p\) Gagliardo-Nirenberg-Zhang inequality ⋮ Flux \& radii within the subconformal capacity

Cites Work

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• The \(p\)-affine capacity
• Sharp convex Lorentz-Sobolev inequalities
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The sharp Sobolev and isoperimetric inequalities split twice
• Capacities, surface area, and radial sums
• Parabolicity of manifolds
• The affine Sobolev inequality.
• \(L_ p\) affine isoperimetric inequalities.
• Sharp affine \(L_ p\) Sobolev inequalities.
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• The relative 𝑝-affine capacity
• Some results on functional capacity and their applications to P-Laplacian problems involving measure data

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