Harnack type inequalities for conformal scalar curvature equation

We derive a Harnack type inequality for the conformal scalar curvature equation \(\Delta u+K(x)u^\frac{n+2}{n-2}=0\) on B3R. If the positive scalar curvature function K(x) is sub-harmonic in a neighborhood of each critical point and the maximum of u over BR is comparable to its maximum over B3R, then the Harnack type inequality can be obtained.