Gradient estimates for singular fully nonlinear elliptic equations

被引：2

作者：

Lieberman, Gary M. ^{[1
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 119卷

关键词：

Singular differential equations; Nonlinear partial differential equations; a priori estimates; CONORMAL DERIVATIVE PROBLEM; REGULARITY;

D O I：

10.1016/j.na.2014.10.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of singular fully nonlinear elliptic equations under suitable natural conditions, with the model equation being Delta u + b(gamma . Du)/d - u + c vertical bar Du vertical bar(2) = f for Lipschitz functions b > 0, c and f, where d denotes distance to the boundary of the domain and gamma is a suitable extension of the interior unit normal. We show that such equations have a unique, globally C-1 solution (without any a priori prescription of boundary data). (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：382 / 397

页数：16

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