Fractional variable exponents Sobolev trace spaces
Functional Analysis
2020-08-26 v1
Abstract
We introduce and study fractional variable exponents Sobolev trace spaces on any open set in the Euclidean space equipped with the Lebesgue measure. We show that every equivalence class of Sobolev functions has a quasicontinuous representatives. We use the relative capacity to characterize completely the zero trace fractional variable exponents Sobolev spaces. We also give a relative capacity criterium for removable sets.
Cite
@article{arxiv.2008.11030,
title = {Fractional variable exponents Sobolev trace spaces},
author = {Mohamed Berghout},
journal= {arXiv preprint arXiv:2008.11030},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2008.00557