On \(p\)-Brunn-Minkowski inequalities for intrinsic volumes, with \(0\le p<1\)

DOI10.1007/s00208-022-02454-0arXiv2107.01287MaRDI QIDQ6093612

Alberto Roncoroni, Daniele Pagnini, Chiara Bianchini, Andrea Colesanti

Publication date: 7 September 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01287

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Dar's conjecture and the log-Brunn-Minkowski inequality
• The log-Brunn-Minkowski inequality
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• A Minkowski problem for electrostatic capacity
• Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• On the \(L_p\)-Brunn-Minkowski and dimensional Brunn-Minkowski conjectures for log-concave measures
• The \(L_p\)-Brunn-Minkowski inequality for \(p<1\)
• Uniqueness of solutions to \(L_p\)-Christoffel-Minkowski problem for \(p < 1\)
• On the stability of Brunn-Minkowski type inequalities
• A new proof of the log-Brunn-Minkowski inequality
• Remarks on the conjectured log-Brunn-Minkowski inequality
• Equivalence of the local and global versions of the \(L^p\)-Brunn-Minkowski inequality
• Monotonicity and concavity of integral functionals involving area measures of convex bodies
• Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals
• Elliptic Partial Differential Equations of Second Order
• The Brunn-Minkowski inequality
• The logarithmic Minkowski problem
• On the Local Version of the Log-Brunn–Minkowski Conjecture and Some New Related Geometric Inequalities
• Local 𝐿^{𝑝}-Brunn–Minkowski inequalities for 𝑝<1
• Log-Brunn-Minkowski inequality under symmetry
• 6. A note on the quantitative local version of the log-Brunn–Minkowski inequality
• $p$-Means of Convex Bodies.

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