The Lq-Minkowski problem of anisotropic p-torsional rigidity

In this paper, the $L_q$-Minkowski problem of anisotropic $p$-torsional rigidity is considered. The existence of the solution of the $L_q$-Minkowski problem of anisotropic $p$-torsional rigidity with $0<q<1$ and $1<q\mathrm{\ne }\frac{p}{p-1}+n$ is given.