Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
arXiv:2210.00574 · doi:10.1007/s10231-023-01333-y
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.
12 pages