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

Kim, Minhyun

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.

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