Torsion functions and the Cheeger problem: a fractional approach

Hamilton Bueno, Grey Ercole, Shirley S. Macedo +1

Let $\Omega$ be a Lipschitz bounded domain of ${\mathbb{R}}^N$, $N\ge 2$. The fractional Cheeger constant $h_s(\Omega )$, $0<s<1$, is defined by \[h_s(Ω)=\inf_{E\subsetΩ}\frac{P_s(E)}{|E|},\:…