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 -regularity of the solutions at the free boundary.
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Enrique Jordá, Eduardo V. Teixeira, José Miguel Urbano, Optimal regularity at the free boundary for the infinity obstacle problem. Interfaces Free Bound. 17 (2015), no. 3, pp. 381–398DOI 10.4171/IFB/347