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arXiv · 2205.09101

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

Juan Pablo Alcon Apaza
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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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Juan Pablo Alcon Apaza. 2022-05-18. Removable singularities for sub-solutions of elliptic equations involving weighted variable exponent Sobolev spaces. https://arxiv.org/abs/2205.09101

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