Multi-valued solutions to fully nonlinear uniformly elliptic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Dai, Limei²  Bao, Jiguang¹ 

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China

关键词: Fully nonlinear;    Uniformly elliptic;    Existence;    Multi-valued solutions;    Viscosity solutions;   

DOI  :  10.1016/j.jmaa.2011.11.029

来源: Elsevier

【 摘 要 】

In this paper, we discuss the existence and regularity of multi-valued viscosity solutions to fully nonlinear uniformly elliptic equations. We use the Perron method to prove the existence of bounded multi-valued viscosity solutions. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free