English

A brief survey on the obstacle problem

Analysis of PDEs 2019-10-22 v1

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.

Keywords

Cite

@article{arxiv.1910.08730,
  title  = {A brief survey on the obstacle problem},
  author = {Hui Yu},
  journal= {arXiv preprint arXiv:1910.08730},
  year   = {2019}
}

Comments

Invited expository to appear in Proceedings of the ICCM. 13 pages

R2 v1 2026-06-23T11:48:28.129Z