Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
Functional Analysis
2022-10-04 v1
Abstract
A Bourgain--Brezis--Mironescu-type theorem for fractional Sobolev spaces with variable exponents is established for sufficiently regular functions. We prove, however, that a limiting embedding theorem for these spaces fails to hold in general.
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Cite
@article{arxiv.2210.00574,
title = {Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents},
author = {Minhyun Kim},
journal= {arXiv preprint arXiv:2210.00574},
year = {2022}
}
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12 pages