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NUMBER M20042
AUTHOR Park, Jung-Tae
TITLE Nonlinear gradient estimates for elliptic double obstacle problems with measure data
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JOURNAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2021
ABSTRACT We study quasilinear elliptic double obstacle problems with a variable exponent growth when the righthand side is a measure. A global Calder & oacute;n-Zygmund estimate for the gradient of an approximable solution is obtained in terms of the associated double obstacles and a given measure, identifying minimal requirements for the regularity estimate. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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