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NUMBER M17081
AUTHOR Cho, Yumi
TITLE Global weighted Orlicz estimates for irregular obstacle problems with general growth over bounded nonsmooth domains
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JOURNAL COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2018
ABSTRACT We study a generalized variational inequality with an irregular obstacle in the frame of Orlicz-Sobolev spaces. Over a bounded nonsmooth domain having a sufficiently flat boundary in the Reifenberg sense, a global weighted Orlicz estimate is established for the gradient of the solution to the obstacle problem assumed BMO smallness of a coefficient.
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