Singular Yamabe problem for scalar flat metrics on the sphere (Q6564485)

The author studies subdomains \(\Omega\) of the unit \(n\)-sphere \(\mathbb{S}^n\) and establishes an equivalence between the sets \(\Omega\) of zero Bessel capacity and the sets \(\Omega\) that allow the existence of a conformal metric \(g\) with vanishing scalar curvature \(R(g)=0\) such that \((\Omega, g)\) is complete.