论文标题
自由边界的常规部分的结构接近障碍物问题的奇异点
The structure of the regular part of the free boundary close to singularities in the obstacle problem
论文作者
论文摘要
我们证明了 - 据作者的最佳知识，首先是障碍物问题的常规边界的正常边界的精细渐近行为。结果是我们最近对长期猜想的部分答案以及对障碍物问题的全球解决方案的第一个部分分类，并在较高的维度上进行了无限的巧合集。
We prove the -- to the best knowledge of the authors -- first result on the fine asymptotic behavior of the regular part of the free boundary of the obstacle problem close to singularities. The result is motivated by our recent partial answer to a long standing conjecture and the first partial classification of global solutions of the obstacle problem with unbounded coincidence sets in higher dimensions.
