The obstacle problem for a fractional Monge-Ampere equation

被引：3
作者：
Jhaveri, Yash [1 ]
Stinga, Pablo Raul [2 ]
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
[2] Iowa State Univ, Dept Math, 396 Carver Hall, Ames, IA 50011 USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 45卷 / 06期
关键词：
Free boundary problem; regularity; fractional Monge-Ampere equation; degenerate elliptic nonlinear nonlocal equation; ELLIPTIC-EQUATIONS; REGULARITY;
D O I：
10.1080/03605302.2019.1697885
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the obstacle problem for a nonlocal, degenerate elliptic Monge-Ampere equation. We show existence and regularity of a unique classical solution to the problem and regularity of the free boundary.
引用
收藏
页码：457 / 482
页数：26
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