Gradient estimates for a class of quasilinear elliptic equations with measure data

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（9）
• 页码范围: 1719-1730
• 页数: 12页
• 语种: 英文

摘要

We study a class of non-homogeneous quasilinear elliptic equations with measure data to obtain an optimal regularity estimate.We prove that the gradient of a weak solution to the problem is as integrable as the first order maximal function of the associated measure in the Orlicz spaces up to a correct power.