The obstacle problem for a fractional Monge-Ampere equation

被引：2

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

页码：457 / 482

页数：26

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