论文标题
Bourgain,Brezis和Mironescu定理,用于分数Sobolev空间,并具有可变指数
Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
论文作者
论文摘要
建立了带有可变指数的分数Sobolev空间的Bourgain-Brezis-Mironescu型定理,以实现足够的规则功能。但是,我们证明,这些空间的局限性嵌入定理总体上无法保持。
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.