English

Free boundary regularity in obstacle problems

Analysis of PDEs 2018-07-04 v1

Abstract

These notes record and expand the lectures for the `Journ\'ees \'Equations aux D\'eriv\'ees Partielles 2018' held by the author during the week of June 11-15, 2018. The aim is to give a overview of the classical theory for the obstacle problem, and then present some recent developments on the regularity of the free boundary.

Keywords

Cite

@article{arxiv.1807.01193,
  title  = {Free boundary regularity in obstacle problems},
  author = {Alessio Figalli},
  journal= {arXiv preprint arXiv:1807.01193},
  year   = {2018}
}
R2 v1 2026-06-23T02:49:30.375Z