Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems

DOI10.1186/s13660-020-02314-yzbMath1503.31014OpenAlexW3030341108MaRDI QIDQ2069324

Lewen Ji

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02314-y

zbMATH Keywords

\(p\)-capacitylogarithmic Minkowski problemlogarithmic Minkowski inequality

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (1)

Some \(\log\)-Minkowski inequalities for \(L_p\)-mixed affine surface area

Cites Work

• Unnamed Item
• Unnamed Item
• Dar's conjecture and the log-Brunn-Minkowski inequality
• The log-Brunn-Minkowski inequality
• \(P\)-capacity vs surface-area
• Brunn-Minkowski inequalities for variational functionals and related problems
• Extremum problems for the cone volume functional of convex polytopes
• The Hadamard variational formula and the Minkowski problem for \(p\)-capacity
• The logarithmic Minkowski inequality for non-symmetric convex bodies
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• Estimates of harmonic measure
• A Minkowski problem for electrostatic capacity
• Hadamard's inequality for \(r\)-convex functions
• The Brunn-Minkowski inequality for \(p\)-capacity of convex bodies
• Sharp geometric inequalities for the general \(p\)-affine capacity
• The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies
• Characterizations of monotonicity of vector fields on metric measure spaces
• On the case of equality in the Brunn-Minkowski inequality for capacity
• The logarithmic Minkowski problem for polytopes
• The \(L _p\) capacitary Minkowski problem for polytopes
• Volume inequalities for subspaces of \(L_p\)
• Remarks on the conjectured log-Brunn-Minkowski inequality
• Polar correspondence with respect to a convex region
• On the Discrete Logarithmic Minkowski Problem
• The logarithmic Minkowski problem
• The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity
• On the polar Orlicz-Minkowski problems and the p-capacitary Orlicz-Petty bodies
• Convex Bodies The Brunn-MinkowskiTheory
• Elements of Information Theory

This page was built for publication: Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems