Removable singularities for sub-solutions of elliptic equations involving weighted variable exponent Sobolev spaces
Analysis of PDEs
2022-07-13 v6 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2205.09101,
title = {Removable singularities for sub-solutions of elliptic equations involving weighted variable exponent Sobolev spaces},
author = {Juan Pablo Alcon Apaza},
journal= {arXiv preprint arXiv:2205.09101},
year = {2022}
}