W2, p-estimates for fully nonlinear elliptic equations with oblique boundary conditions

被引：10

作者：

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

Han, Jeongmin ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 05期

关键词：

Fully nonlinear equations; Oblique derivative problems; Viscosity solutions; W-2; W-p-regularity; DERIVATIVE PROBLEM; VISCOSITY SOLUTIONS; REGULARITY; SPACES;

D O I：

10.1016/j.jde.2019.09.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study fully nonlinear elliptic equations with oblique boundary conditions. We obtain a global W-2,W- p-estimate, n - tau(0) < p < infinity, for viscosity solutions of such problems when the boundary of the domain is in C-2,C-alpha for every 0 < alpha <1. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：2125 / 2150

页数：26

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