中文摘要：

介绍了对偶体积差和均质积分差的概念,讨论了它们的对偶Lp-Brunn-Minkowski型理论,其中一个结论表明,对于两个相互扩张的星体,特别地,当它们中挖掉两个任意的星体后,Lp-Brunn-Minkowski不等式仍然成立.

英文摘要：

In this paper,we introduce the concepts of the dual volume differences and width-integral differences,and discuss the theory of dual Lp-Brunn-Minkowski type for them.One of the results implies that for two mutually dilating star bodies,the dual Lp-Brunn-Minkowski inequality still holds after two arbitrary star bodies included in them are excluded.