On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
We study the existence and compactness of positive solutions to a family of conformally invariant equations on closed locally conformally flat manifolds. The family of conformally covariant operators Pα was introduced via the scattering theory for Poincaré metrics associated with a conformal manifold (Mn,[g]). We prove that, on a closed …