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http://dx.doi.org/10.4134/JKMS.j190777

GRADIENT ESTIMATES FOR ELLIPTIC EQUATIONS IN DIVERGENCE FORM WITH PARTIAL DINI MEAN OSCILLATION COEFFICIENTS  

Choi, Jongkeun (Department of Mathematics Education Pusan National University)
Kim, Seick (Department of Mathematics Yonsei University)
Lee, Kyungrok (Department of Computational Science and Engineering Yonsei University)
Publication Information
Journal of the Korean Mathematical Society / v.57, no.6, 2020 , pp. 1509-1533 More about this Journal
Abstract
We provide detailed proofs for local gradient estimates for elliptic equations in divergence form with partial Dini mean oscillation coefficients in a ball and a half ball.
Keywords
Elliptic equation; measurable coefficients; partial Dini mean oscillation condition; $W^{1,{\infty}}$-estimate; weak type-(1, 1) estimate;
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