English

Boundary regularity and non-transversal intersection for the fully nonlinear obstacle problem

Analysis of PDEs 2021-12-14 v2

Abstract

In this paper non-transversal intersection of the free and fixed boundary is shown to hold in any dimension for obstacle problems generated by fully nonlinear uniformly elliptic operators. Moreover, C1C^1 regularity results of the free boundary are obtained and a classification of blow-up solutions is given.

Keywords

Cite

@article{arxiv.1709.06618,
  title  = {Boundary regularity and non-transversal intersection for the fully nonlinear obstacle problem},
  author = {Emanuel Indrei},
  journal= {arXiv preprint arXiv:1709.06618},
  year   = {2021}
}

Comments

A version of this paper is accepted for publication in CPAM

R2 v1 2026-06-22T21:48:43.218Z