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

被引：0

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：

暂无

中图分类号：

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.

引用

页码：693 / 723

页数：30

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