A minimizer of the obstacle problem under generalized Orlicz growth is shown to be continuous up to the boundary at capacity-fat points, and its gradient is globally higher integrable under a measure density condition.
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Global continuity and higher integrability of a minimizer of an obstacle problem under generalized Orlicz growth conditions
A minimizer of the obstacle problem under generalized Orlicz growth is shown to be continuous up to the boundary at capacity-fat points, and its gradient is globally higher integrable under a measure density condition.