| Abstract: |
| About a decade ago, Bourgain and Brezis established an approximation theorem for functions in the Sobolev space $W^{1,n}$ on $\mathbb{R}^n$, when $n \geq 2$. This has some far-reaching consequences, and we will survey some of that in this talk. We will also discuss some new results along this line obtained in the past few years. The new results are from joint work with Sagun Chanillo, Jean Van Schaftingen, and also joint work with Pierre Bousquet, Emmanuel Russ and Yi Wang. |
|