preprint

Inserted: 18 oct 2026

Year: 2017

Abstract:

In this paper we study optimal estimates for two functionals involving the anisotropic $p$-torsional rigidity $T_p(Ω)$, $1<p<+\infty$. More precisely, we study $Φ(Ω)=\frac{T_p(Ω)}{
Ω
M(Ω)}$ and $Ψ(Ω)=\frac{T_p(Ω)}{
Ω
[R_{F}(Ω)]^{\frac{p}{p-1}}}$, where $M(Ω)$ is the maximum of the torsion function $u_Ω$ and $R_F(Ω)$ is the anisotropic inradius of $Ω$.