Abstract
We study an irregular double obstacle problem with Orlicz growth over a nonsmooth bounded domain. We establish a global Calderon–Zygmund estimate by proving that the gradient of the solution to such a nonlinear elliptic problem is as integrable as both the nonhomogeneous term in divergence form and the gradient of the associated double obstacles. We also investigate minimal regularity requirements on the relevant nonlinear operator for the desired regularity estimate.
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