W2,p estimates for solutions to asymptotically elliptic equations in nondivergence form

被引：8

作者：

Byun, Sun-Sig ^{[1
,2
]}

Oh, Jehan ^{[1
]}

Wang, Lihe ^{[3
,4
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[4] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 11期

基金：

新加坡国家研究基金会;

关键词：

Asymptotically elliptic equations; Asymptotically linear equations; W-2P estimates; Fully nonlinear equations; Viscosity solutions; VISCOSITY SOLUTIONS; REGULARITY;

D O I：

10.1016/j.jde.2016.02.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce asymptotically elliptic equations and establish the global W-2,W-P estimates for viscosity solutions to both asymptotically linear elliptic equations and asymptotically fully nonlinear elliptic equations in bounded domains. Our approach for the proof is based on an appropriate transformation which converts a given asymptotically elliptic equation to a suitable uniformly elliptic equation. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：7965 / 7981

页数：17

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