Asymptotic behavior of positive solutions of the equation #DELTA#_gu + Ku~p = 0 in a complete Riemannian manifold and positive scalar curvature

摘要

We consider the asymptotic behavior of positive solutions of the equation #DELTA#_gu + Ku~p = 0 in a complete Riemannian manifold, in association with conformal deformations of a scalar flat Riemannian metric into complete Riemannian metrics with scalar curvature bounded between two positive numbers.