Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems

[摘要] 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.

[学科分类] 电力

[关键词] Logarithmic Minkowski inequality;Logarithmic Minkowski problem;p -capacity