Another Approach of Morrey Estimate for Linear Elliptic Equations with Partially BMO Coefficients in a Half Space

作者：Tian, Hong^*; Zheng, Shenzhou

来源：Filomat, 2018, 32(4): 1429-1437.

DOI：10.2298/FIL1804429T

• divergence linear elliptic equations
• Dirichlet problems
• partially BMO coefficients
• Morrey spaces

Making use of an elementary approach instead of the weighted L-p estimate with a special weight, we prove global Morrey estimates of the weak derivatives to the Dirichlet problems of linear elliptic equations with small partially BMO coefficients in a half space. Here, the leading coefficients a(ij)(x) are assumed to be merely measurable in one variable, and have small BMO in the remaining spatial variables.

• 出版日期2018
• 单位北京交通大学