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TITLE Regularity results of the thin obstacle problem for the p(x)-Laplacian
KIAS AUTHORS Lee, Ki-Ahm
JOURNAL JOURNAL OF FUNCTIONAL ANALYSIS, 2019
ARCHIVE  
ABSTRACT We study thin obstacle problems involving the energy functional with p(x)-growth. We prove higher integrability and Holder regularity for the gradient of minimizers of the thin obstacle problems under the assumption that the variable exponent p(x) is Holder continuous. (C) 2018 Elsevier Inc. All rights reserved.
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