Geodesic
Optimal regularity at the free boundary for the infinity obstacle problem
Julio D. Rossi1 ; Eduardo V. Teixeira2 orcid ; José Miguel Urbano3
1Universidad de Buenos Aires, Argentina
2Universidade Federal do Ceará, Fortaleza, Brazil
3Universidade de Coimbra, Portugal
Interfaces and free boundaries, Tome 17 (2015) no. 3, pp. 381-398

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DOI

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 C1,31​-regularity of the solutions at the free boundary.
DOI : 10.4171/ifb/347
Classification : 35-XX
Mots-clés : Obstacle problem, infinity Laplacian, free boundary, optimal regularity

Julio D. Rossi  1   ; Eduardo V. Teixeira  2   ; José Miguel Urbano  3

1 Universidad de Buenos Aires, Argentina
2 Universidade Federal do Ceará, Fortaleza, Brazil
3 Universidade de Coimbra, Portugal 
Julio D. Rossi; Eduardo V. Teixeira; José Miguel Urbano. Optimal regularity at the free boundary for the infinity obstacle problem. Interfaces and free boundaries, Tome 17 (2015) no. 3, pp. 381-398. doi: 10.4171/ifb/347
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     title = {Optimal regularity at the free boundary for the infinity obstacle problem},
     journal = {Interfaces and free boundaries},
     pages = {381--398},
     year = {2015},
     volume = {17},
     number = {3},
     doi = {10.4171/ifb/347},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/347/}
}
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