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.
|Number of pages||25|
|Journal||Journal of the Korean Mathematical Society|
|Publication status||Published - 2020|
Bibliographical noteFunding Information:
Received November 18, 2019; Revised February 24, 2020; Accepted March 25, 2020. 2010 Mathematics Subject Classification. 35B65, 35J47, 35R05. Key words and phrases. Elliptic equation, measurable coefficients, partial Dini mean oscillation condition, W1,∞-estimate, weak type-(1, 1) estimate. J. Choi is partially supported by National Research Foundation of Korea(NRF) under agreement NRF-2019R1F1A1058826. S. Kim is partially supported by National Research Foundation of Korea(NRF) under agreement NRF-20151009350 and NRF-2019R1A2C2002724.
© 2020 Korean Mathematical Society.
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