Nonlocal energies of convex bodies and their log-Minkowski problems

DOI10.1016/j.aim.2023.109132zbMath1516.52008OpenAlexW4379530747MaRDI QIDQ6156540

Lei Qin

Publication date: 13 June 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2023.109132

zbMATH Keywords

nonlocal perimeter functionalchord integralchord log-Minkowski problem

Mathematics Subject Classification ID

Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
• A quantitative isoperimetric inequality for fractional perimeters
• Proprietà di alcune classi di funzioni in più variabili
• Nonlinear ground state representations and sharp Hardy inequalities
• On an open question about functions of bounded variation.
• Cases of equality in the Riesz rearrangement inequality
• Isoperimetry and stability properties of balls with respect to nonlocal energies
• The dual Minkowski problem for symmetric convex bodies
• Anisotropic fractional perimeters
• A Notion of Nonlocal Curvature
• Stochastic and Integral Geometry
• Nonlocal minimal surfaces
• Symmetric Decreasing Rearrangement Is Sometimes Continuous
• The logarithmic Minkowski problem
• Proof of spherical flocking based on quantitative rearrangement inequalities
• Convex and Discrete Geometry
• Convex Bodies The Brunn-MinkowskiTheory
• Sharp stability for the Riesz potential
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonlocal energies of convex bodies and their log-Minkowski problems