Optimal regularity at the free boundary for the infinity obstacle problem

被引：19

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.

引用

页码：381 / 398

页数：18

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