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arxiv: 1206.5652 · v2 · pith:DC4T2BMHnew · submitted 2012-06-25 · 🧮 math.AP

Optimal regularity at the free boundary for the infinity obstacle problem

classification 🧮 math.AP
keywords obstacleboundaryfreeinfinityproblemregularityabovecharacterization
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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 $C^{1,1/3}$--regularity at the free boundary.

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