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

2022/05/18 by Apaza, Juan Pablo Alcon
#35A21 #35J57 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2205.09101

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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