Nonlinear gradient estimates for elliptic double obstacle problems with measure data

نویسندگان

چکیده

We study quasilinear elliptic double obstacle problems with a variable exponent growth when the right-hand side is measure. A global Calder\'{o}n-Zygmund estimate for gradient of an approximable solution obtained in terms associated obstacles and given measure, identifying minimal requirements regularity estimate.

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2021

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2021.05.035