Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations

被引：21

作者：

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

Lee, Mikyoung ^{[1
]}

Palagachev, Dian K. ^{[3
]}

机构：

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

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

[3] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Edoardo Orabona 4, I-70125 Bari, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

Fully nonlinear equation; Viscosity solution; Hessian estimates; Weighted Lebesgue space; Muckenhoupt weight; Money space; REGULARITY; BOUNDARY;

D O I：

10.1016/j.jde.2015.11.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove global regularity in weighted Lebesgue spaces for the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equations. As a consequence, regularity in Money spaces of the Hessian is derived as well. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：4550 / 4571

页数：22

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