Optimal Regularity and Nondegeneracy of a Free Boundary Problem Related to the Fractional Laplacian

被引：0
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作者：
Ray Yang
机构：
[1] New York University,Courant Institute of Mathematical Sciences
来源：
Archive for Rational Mechanics and Analysis | 2013年 / 208卷
关键词：
Free Boundary; Free Boundary Problem; Harnack Inequality; Obstacle Problem; Poisson Kernel;
D O I：
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学科分类号：
摘要：
We discuss the optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian. This work is related to, but addresses a different problem from, recent work of Caffarelli et al. (J Eur Math Soc (JEMS) 12(5):1151–1179, 2010). A variant of the boundary Harnack inequality is also proved, where it is no longer required that the function be zero along the boundary.
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页码：693 / 723
页数：30
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