A response to an article of Xu-Jia Wang

摘要

This is a response to the article arXiv:1212.3130v1 by Xu-Jia Wang, where heattempted to address a mathematical question we raised. We point out that, andexplain why, the article is far from answering our objections. Moreover, wehave more recently found more serious trouble in the paper under discussionbased on the false assertion there that minimal radial functions ofsuperharmonic functions (with respect to a conformal Laplacian of a Riemannianmetric) are superharmonic.