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Removable singularities for sub-solutions of elliptic equations involving weighted variable exponent Sobolev spaces (2205.09101v6)
Published 18 May 2022 in math.AP and math.FA
Abstract: We study the removability of a singular set for elliptic equations involving weight functions and variable exponents. We consider the case where the singular set satisfies conditions related to some generalization of upper Minkowski content or a net measure, and give sufficient conditions for removability of this singularity for equations in the weighted variable exponent Sobolev spaces.
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