Boundary Harnack estimates in slit domains and applications to thin free boundary problems
Boundary Harnack estimates in slit domains and applications to thin free boundary problems
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DOI：
10.4171/rmi/902
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发表时间：
2016-01-01
影响因子：
1.2
通讯作者：
Savin, Ovidiu
中科院分区：
文献类型：
--
作者：
De Silva, Daniela;Savin, Ovidiu
给出了狭缝域中调和函数的一个高阶边界哈纳克不等式。作为一个推论，我们得到了Signorini问题在非简并点附近自由边界的c -无穷正则性。
We provide a higher order boundary Harnack inequality for harmonic functions in slit domains. As a corollary we obtain the C-infinity regularity of the free boundary in the Signorini problem near non-degenerate points.