Global estimates for non-uniformly nonlinear elliptic equations in a convex domain

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:439

Article

Wang, Lihe^1,2  Yao, Fengping³ 

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[3] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

关键词: Calderon-Zygmund;    Global;    Gradient;    Divergence;    Non-uniformly;    Elliptic;   

DOI  :  10.1016/j.jmaa.2016.02.062

来源: Elsevier

【 摘 要 】

In this paper we obtain the following global a priori Calderon Zygnaund estimates in a convex domain Omega [GRAPHICS] of weak solutions for a class of non-uniformly nonlinear elliptic equations with vanishing Dirichlet data [GRAPHICS] where 1 < p(1) < p(2) < infinity. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free