About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case

About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case
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关于 R2 中自由边界问题最大子解的几何和正则性:椭圆情况

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发表时间:
2011
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通讯作者:
Betul Orcan
Betul Orcan
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作者:
Betul Orcan

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本文研究了在R2中一个非常一般的自由边界条件下的单相自由边界问题的最大子解的几何性质和正则性。此外,我们提供了密度边界附近的正集和它的补充。
We study geometric and regularity properties of the largest subsolution of a one-phase free boundary problem under a very general free boundary condition in R2. Moreover, we provide density bounds for the positivity set and its complement near the free boundary.