Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems

Abstract In this paper, we show the existence of a solution to an even logarithmic Minkowski problem for p-capacity and prove some analogue inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies involving p-capacity.

Bibliographic Details
Main Author: Lewen Ji
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02314-y