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arXiv 2018-01-05 2 views

Regularity Results of the Thin Obstacle Problem for the p(x)-Laplacian

Byun, Sun-sig · Lee, Ki-ahm · Oh, Jehan · Park, Jinwan

Original · EN

We study thin obstacle problems involving the energy functional with p(x)-growth. We prove higher integrability and Hölder regularity for the gradient of minimizers of the thin obstacle problems under the assumption that the variable exponent p(x) is Hölder continuous.

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