A brief survey on the obstacle problem
arXiv:1910.08730
Abstract
We discuss some regularity issues in the study of the obstacle problem. In particular, we present a recent result by O. Savin and the author on the regularity of the singular set for the obstacle problem with a fully nonlinear elliptic operator. This survey is based on a lecture by the author at the 8th International Congress of Chinese Mathematicians.
Invited expository to appear in Proceedings of the ICCM. 13 pages