期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
卷 44, 期 1, 页码 318-341出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2023105
关键词
Homogenization; elliptic equations in non-divergence form; uniform C-1,C-1 estimates; Dini conditions
The paper discusses the regularity of elliptic equations in non-divergence form with homogenization. We establish uniform interior and boundary C-1,C-1 estimates in bounded C-2,C-Dini domains, provided that the coefficients and inhomogeneous terms of the equations are Dini continuous, and the boundary data are of C-2,C-Dini, which weakens the assumptions of some existence results.
The paper is concerned with regularity of elliptic equations in non-divergence form with homogenization. We establish uniform interior and boundary C-1,C-1 estimates in bounded C-2,C-Dini domains provided the coefficients and inhomogeneous terms of equations are Dini continuous and the boundary data are of C-2,C-Dini, which weakens the assumptions of some existence results.
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