Optimal regularity at the free boundary for the infinity obstacle problem

被引：20
|
作者：
Rossi, J. D. [1 ]
Teixeira, E. V. [2 ]
Urbano, J. M. [3 ]
机构：
[1] Univ Alicante, Dept Math Anal, E-03080 Alicante, Spain
[2] Univ Fed Ceara, BR-60455760 Fortaleza, CE, Brazil
[3] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal
来源：
INTERFACES AND FREE BOUNDARIES | 2015年 / 17卷 / 03期
关键词：
Obstacle problem; infinity Laplacian; free boundary; optimal regularity; TUG-OF-WAR; LAPLACIAN;
D O I：
10.4171/IFB/347
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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,C-1/3-regularity of the solutions at the free boundary.
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页码：381 / 398
页数：18
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