English

Optimal regularity at the free boundary for the infinity obstacle problem

Analysis of PDEs 2015-10-06 v2

Abstract

This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp C1,1/3C^{1,1/3}--regularity at the free boundary.

Keywords

Cite

@article{arxiv.1206.5652,
  title  = {Optimal regularity at the free boundary for the infinity obstacle problem},
  author = {Julio D. Rossi and Eduardo V. Teixeira and José Miguel Urbano},
  journal= {arXiv preprint arXiv:1206.5652},
  year   = {2015}
}

Comments

17 pages

R2 v1 2026-06-21T21:24:55.072Z