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arXiv:1206.5652 [math.AP]AbstractReferencesReviewsResources

Optimal regularity at the free boundary for the infinity obstacle problem

Julio D. Rossi, Eduardo V. Teixeira, José Miguel Urbano

Published 2012-06-25, updated 2015-10-05Version 2

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.

Comments: 17 pages
Journal: Interfaces and Free Boundaries 2015
Categories: math.AP
Subjects: 35B65, 35R35, 35J70
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