C1,α Interior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels

被引：42
作者：
Kriventsov, Dennis [1 ]
机构：
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 38卷 / 12期
基金：
美国国家科学基金会;
关键词：
Elliptic; Interior regularity; Nonlinear; Nonlocal equations;
D O I：
10.1080/03605302.2013.831990
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a C-1,C- interior regularity theorem for fully nonlinear uniformly elliptic integro-differential equations without assuming any regularity of the kernel. We then give some applications to linear theory and higher regularity of a special class of nonlinear operators.
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页码：2081 / 2106
页数：26
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