A response to an article of Xu-Jia Wang

Abstract

This is a response to the article arXiv:1212.3130v1 by Xu-Jia Wang, where he attempted to address a mathematical question we raised. We point out that, and explain why, the article is far from answering our objections. Moreover, we have more recently found more serious trouble in the paper under discussion based on the false assertion there that minimal radial functions of superharmonic functions (with respect to a conformal Laplacian of a Riemannian metric) are superharmonic.