On Brunn–Minkowski Type Inequalities and Overdetermined Problem for p-Capacity

被引：0
|
作者：
Lewen Ji
机构：
[1] East China University of Technology,Department of Mathematics
[2] Shanghai University,Department of Mathematics
来源：
Results in Mathematics | 2020年 / 75卷
关键词：
-Capacitary difference; -capacitary overdetermined problem; -difference body; 31B15; 52A20; 35J60;
D O I：
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摘要：
In this paper, we mainly study some properties of p-capacity. Firstly, the p-capacitary difference Brunn–Minkowski and Minkowski inequalities are established. Secondly, we propose the p-capacitary overdetermined problem and prove the Serrin type symmetry result for the problem. Finally, we also make some considerations for the polar set of p-difference body for capacity.
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