The $p$-capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems

Han Hong, Deping Ye, Ning Zhang

In this paper, combining the $p$-capacity for $p\in (1,n)$ with the Orlicz addition of convex domains, we develop the $p$-capacitary Orlicz-Brunn-Minkowski theory. In particular,…