An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients

Journal of inequalities and applications

Haiyan Yu¹ 

关键词: VMO coefficients;    natural growth;    A-harmonic approximation;    partial regularity;    35J60;    35B65;    35D30;   

DOI  :  10.1186/s13660-015-0957-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth. Here, we do it by way of the modified A-harmonic approximation and Caccippoli’s inequality.

【 授权许可】

CC BY