Obstacle problem for a non-convex fully nonlinear operator

被引：6
|
作者：
Lee, Ki-Ahm [1 ,2 ]
Park, Jinwan [1 ]
机构：
[1] Seoul Natl Univ, Seoul 08826, South Korea
[2] Korea Inst Adv Study, Seoul 02455, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 265卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
Free boundary problem; Obstacle problem; Regularity of free boundary; Non-convex fully nonlinear operator; Evans-Krylov theorem; FREE-BOUNDARY PROBLEMS; MONGE-AMPERE EQUATION; ELLIPTIC-EQUATIONS; REGULARITY;
D O I：
10.1016/j.jde.2018.07.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a priori C-2,C-alpha estimate up to the boundary for F(D(2)u) = 0 and the regularity of the free boundary of the obstacle problem for fully nonlinear operator under specific conditions for the operator and level sets of the operator. The conditions are variations of conditions for the zero set of the operator in [7]. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：5809 / 5830
页数：22
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