Open AccessOptimal regularity at the free boundary for the infinity obstacle problem
Author(s) -
Julio D. Rossi,
Eduardo V. Teixeira,
José Miguel Urbano
Publication year - 2015
Publication title -
interfaces and free boundaries mathematical analysis computation and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.964
H-Index - 39
eISSN - 1463-9971
pISSN - 1463-9963
DOI - 10.4171/ifb/347
Subject(s) - obstacle , infinity , obstacle problem , boundary (topology) , free boundary problem , mathematics , mathematical analysis , computer science , political science , law
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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