Gradient estimates for elliptic equations in divergence form with partial dini mean oscillation coefficients

Jongkeun Choi; Seick Kim; Kyungrok Lee

doi:10.4134/JKMS.j190777

Gradient estimates for elliptic equations in divergence form with partial dini mean oscillation coefficients

Jongkeun Choi, Seick Kim, Kyungrok Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1509-1533
Number of pages	25
Journal	Journal of the Korean Mathematical Society
Volume	57
Issue number	6
DOIs	https://doi.org/10.4134/JKMS.j190777
Publication status	Published - 2020

Bibliographical note

Funding 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.

Publisher Copyright:
© 2020 Korean Mathematical Society.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4134/JKMS.j190777

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title = "Gradient estimates for elliptic equations in divergence form with partial dini mean oscillation coefficients",

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.",

author = "Jongkeun Choi and Seick Kim and Kyungrok Lee",

note = "Funding 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. Publisher Copyright: {\textcopyright} 2020 Korean Mathematical Society.",

year = "2020",

doi = "10.4134/JKMS.j190777",

language = "English",

volume = "57",

pages = "1509--1533",

journal = "Journal of the Korean Mathematical Society",

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AU - Choi, Jongkeun

AU - Kim, Seick

AU - Lee, Kyungrok

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N2 - 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.

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Gradient estimates for elliptic equations in divergence form with partial dini mean oscillation coefficients

Abstract

Bibliographical note

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