Calderon-Zygmund estimate for asymptotically regular non-uniformly elliptic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Liang, Shuang¹  Zheng, Shenzhou¹ 

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

关键词: Asymptotically regular;    Non-uniformly elliptic equations;    C-1,C-beta-domain;    Calderon-Zygmund estimate;   

DOI  :  10.1016/j.jmaa.2019.123749

来源: Elsevier

【 摘 要 】

We prove a global Calderon-Zygmund estimate for the distributional solution to non-uniformly elliptic equation with an asymptotically regular nonlinearity in a C-1,C-beta-domain for some beta > 0. Here, a key ingredient of our proof is to make use of approximating the solution of asymptotically regular problem by the solution of regular problem while the gradient of its solution close to infinity. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free