Optimal regularity at the free boundary for the infinity obstacle problem
Julio D. Rossi, Eduardo V. Teixeira, Jos\'e Miguel Urbano
TL;DR
This paper studies the obstacle problem for the infinity Laplacian, establishing a characterization of solutions via cone comparison and proving sharp regularity at the free boundary.
Contribution
It provides a new characterization of solutions and proves optimal regularity results for the free boundary in the infinity obstacle problem.
Findings
Solution characterized by cone comparison above obstacle
Proved sharp $C^{1,1/3}$ regularity at free boundary
Established regularity results for infinity obstacle problem
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 --regularity at the free boundary.
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