Boundary Holder estimates for nonlinear singular elliptic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

Cui, Fan¹  Jian, Huaiyu¹  Li, You¹ 

[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

关键词: Holder estirnate;    Fully nonlinear;    Singular elliptic equation;   

DOI  :  10.1016/j.jmaa.2018.10.059

来源: Elsevier

【 摘 要 】

In this paper we study the Dirichlet problem of a class of nonlinear elliptic equations which includes Monge Ampere equation, K-Hessian equation and the usual linear elliptic equation. This problem becomes singular near the boundary of the domain. By carefully constructing sub-solutions we obtain the boundary Holder estimate for the convex solution to the problem when the domain satisfies exterior sphere condition. (C) 2018 Published by Elsevier Inc.

【 授权许可】

Free