Optimal regularity at the free boundary for the infinity obstacle problem

Optimal regularity at the free boundary for the infinity obstacle problem
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无限障碍问题自由边界的最优正则性

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
J. M. Urbano
J. M. Urbano
中科院分区:
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文献类型:
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作者:
J. Rossi;E. Teixeira;J. M. Urbano

文献摘要

被引文献

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本文讨论无穷大拉普拉斯算子的障碍问题。主要结果是通过与位于障碍物上方的圆锥和自由边界处的尖锐的$C^{1,1/3}$-正则性进行比较来表征解。
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.