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We study the removability of a singular set for elliptic equations involvingweight functions and variable exponents. We consider the case where thesingular set satisfies conditions related to some generalization of upperMinkowski content or a net measure, and give sufficient conditions forremovability of this singularity for equations in the weighted variableexponent Sobolev spaces.

Removable singularities for sub-solutions of elliptic equations involving weighted variable exponent Sobolev spaces